The sum of the digits of a two digit number is 11 the number got by interchanging the digits is 27 more than the original number. What is this number ?

Answers

Answer 1

Let the digit in one's place be y and digit at ten's place be x.

Given:

Sum of the digits = 11

⟶ x + y = 11

⟶ x = 11 - y -- equation (1).

And,

The number formed by reversing the digits is 27 more than the original number.

⟶ Reversed number = Original number + 27

reversed number = 10y + x.

⟶ 10y + x = 10x + y + 27

⟶ 10y + x - 10x - y = 27

⟶ 9y - 9x = 27

Substitute the value x from equation (1).

⟶ 9y - 9(11 - y) = 27

⟶ 9y - 99 + 9y = 27

⟶ 18y = 27 + 99

⟶ 18y = 126

⟶ y = 126/18

⟶ y = 7

Substitute the value of y in equation (1).

⟶ x = 11 - 7

⟶ x = 4

The number = 10(4) + 7 = 40 + 7 = 47.

∴ The required two digit number is 47.

I hope it will help you.

Regards.


Related Questions

NEED HELP PLEASE BEGGING PLEASE!!!!

Answers

Answer:

-54

Step-by-step explanation:

[tex]8(-9) - 6(-3)\\[/tex]

Multiply 8 by -9 and 6 by -3

[tex]-72 - (-18)[/tex]

Subtract[tex]Value = -54[/tex]

Hope this helps

plz mark brainliest

PLZ ANSWER THIS QUICK! THANKS!

Answers

Answer:

a) 300m

b) 15 miles

Step-by-step explanation:

a) 1 : 30 000

=  1x 30 000

=  30 000cm

=  30 000cm/ 100                           Representing in metres

=  300m

b) 1 : 6

=  1x 2.5 : 6x 2.5

=  2.5 : 15

=  15 miles

Calculate the unit rate for each option of Takis, explain which option is better,
and why?

Answers

Answer: .42 for left bag .22 for right bag

(1st explanation is the left bag and the 2nd in the right bag)
Explanation: If the bag is $1.68 for 4oz of takis and you want to find the unit rate you do 1.68 divided by 4 which equals $0.42 per oz of takis.
2nd Explanation: If its $4.42 for 20 oz of takis do 4.42 divided by 20 which equals $0.22.

Explanation for the teacher (I saw the worst words ever, "why?": The right bag of takis are the best value since the left bag is a little bit less than twice the right bag.

Answer:

they are better because they are cheeper than the other

Ariana buys an ant farm from a store near her home. The ant farm’s price is $12, and the sales tax is 7%. What is the total price of the ant farm?

Answers

Answer:

$12.84

Step-by-step explanation:

Start by dividing 12 by 100 to get 0.12 to get 1% of the price of the ant farm.

Then multiply 0.12 by 107 to get the price + tax.

You'll end up with 12.84.

Then just add your units to get $12.84.

Answer would be 12.84:)

Please do all for brainliest! It’s due in 1 hour!

Answers

Answer:

3x-7=17

3x=17+7

3x=24

x= 8

A teacher uses the function G(x) = -3x + 100 to calculate a student's grade, G(x), on a test if the student misses x questions on the test. Which statement best descebes the slope of the function? Show complete working format please​

Answers

Answer:

then it would 50 no? i first divided 100 from x and game me 100x and then since i knew that 2 plus 3 is 5 and if i add a 0 then it would make 50

Step-by-step explanation:

lindsey and Oscar have been selling popcorn for a class fundraiser. Oscar sold three times as many bags of popcorn as Lindsey. together they have sold a total of 92 bags of popcorn. how many bags did Oscar sell?

Answers

Answer:

Oscar= 69

Step-by-step explanation:

92/4 = 23

23 times 3=69

CORRECT ANSWER WILL GET BRAINLIEST AND 20 points
A business is using a catering company for an event. The catering company is offering three different meal options. The equation y = 8.50x + 45.00 can be used to predict
the cost of the meals if x people attend the event. What is the meaning of the slope of the equation?
A
The company charges an initial fee of $8.50.
B
The company charges an initial fee of $45.00.
The cost increases by $8.50 for each person who attends the event.
The cost increases by $45.00 for each person who attends the event.

Answers

Answer:

The cost increases by $8.50 for each person who attends the event.

Step-by-step explanation:

The company charges an initial fee of $45.00

The cost increases by $8.50 for each person who attends the event.

The correct options are B and C

As per the given data:

The equation y = 8.50x + 45.00 can be used to predict the cost of the meals if x people attend the event.

By comparing this equation with the slope intercept form y = mx + c

slope(m) = 8.50

We can find out the initial fee charged by the company by substituting

x = 0 {zero people}

y = 8.50(0) + 45.00

y = $45.00

For increase in cost with each person attending the event:

Cost for 2 persons - Cost for 1 person

= 8.50(2) + 45.00 - [8.50(1) + 45.00]

= 8.50(2) - 8.50(1)

= $8.50

This is the slope of the line

Hence, The company charges an initial fee of $45.00 and the cost increases by $8.50 for each person who attends the event.

To learn more on Slope, click:

brainly.com/question/3605446

#SPJ2

What is the slope of line that passes through the points -2,4 and 1,-1​

Answers

Answer:

-5/3

Step-by-step explanation:

-2 to 1 =3   x=3

4 to -1=5   y=-5

y/x      slope=-5/3 or -1  2/3

Add -7d - 3 and 10d - 6. Show all steps.

Answers

Answer:

[tex]3d - 9[/tex]

Step-by-step explanation:

[tex](-7d - 3)+(10d - 6)\\-7d - 3 + 10d - 6\\-7d + 10d -3 - 6\\3d - 9[/tex]

Irma is just learning to play the Happy Fairies video game. In the game, players gain and lose points based on how well they take care of the fairies in their fairy gardens. Irma had a total of – 5 points. Then, her fairy house fell over in the wind and she got – 3 points. How many total points does Irma have now?

Answers

Answer: -8 points

Step-by-step explanation:

From the question, we are informed that Irma is just learning to play the Happy Fairies video game and that in the game, players gain and lose points based on how well they take care of the fairies in their fairy gardens.

We are told that Irma had a total of –5 points, then, her fairy house fell over in the wind and she got –3 points.

Her total points now will be the addition of -5 and -3. This will be:

= -5 + (-3)

= -5 - 3

= -8

Note that minus multiplied by plus is minus.

Answer: -8

Step-by-step explanation:

What is the solution to the inequality f+4<2
a.f<6
b.f<-2
c.f<2
d.f<-6

Answers

Step-by-step explanation:

option b is the correct answer

What is the quotient of 5.67 x 10^7 and 2.7 x 10^4 expressed in scientific notar

Answers

Answer:

2.1 * 10 ^3

Step-by-step explanation:

5.67  * 10 ^7 ÷2.7 x 10^4

Divide the numbers

5.67 / 2.7 =2.1

Divide the exponents

10^7 / 10 ^4

Remember when dividing power, we subtract the exponents

10 ^(7-4) = 10^3

Put this back together

2.1 * 10 ^3

Verify that this is in scientific notation

Since this is in scientific notation, we are done

Answer:

2.1x10 to the power of three

Step-by-step explanation:

\frac{5.67\times 10^7}{2.7\times 10^4}

2.7×10

4

5.67×10

7

Divide them.

\frac{5.67}{2.7}\times \frac{10^7}{10^4}

2.7

5.67

×

10

4

10

7

Divide numbers and 10's separeately.

2.1\times 10^3

2.1×10

3

Subtract exponents.

4) Tony pays $245 for a PS4. He decides to sell the PS4 with a 30%
markup. How much is Tony selling the PS4 for?

Answers

Answer:

175

Step-by-step explanation:

trust me .

Answer:

318.5

Step-by-step explanation:

30% of 245 is 73.5

245 + 73.5 = 318.5

can a triangle have an exterior angle that is obtuse at two vertices? Explain

Answers

Answer:

Yes

Step-by-step explanation:

An obtuse triangle will have two obtuse angle at its exterior.

Take for instance, the angles in the triangle are 100, 40 and 40.

The exteriors would be 80, 140, 140 (this is gotten by subtracting each interior angles from 180).

So, using the above analysis, we can conclude that the statement is possible.

1. (3x + 7) + (8x + 2)

Answers

11x+9


Step by step:
Remove the parenthesis
3x+7+8x+2
Collect like terms
11x+7+2
Add 7+2
11x+9

Can somebody please help?

Answers

Answer: C

Step-by-step explanation: I could tell just by looking at the first two, they’re negative

Find y into the nearest hundredth place

Answers

Answer:

12.43ft

Step-by-step explanation:

 From the given diagram, we simply apply the sin rule

According to the sine rule

=

   y is the side y

    y° = (90 - 43) = 47

    z = 17

    z° = 90

Input the parameters and solve;

            [tex]\frac{y}{sin 47} = \frac{17}{sin 90}[/tex]

       ysin 90 = 17 sin 47

         y = 12.43ft

The price for a cell phone was reduced from $30 to $18. By what percentage was the cell phone reduced?
Answer choices:
25%
40%
15%

Answers

Answer: 40%

Steps: Forty percent of $30 is $18.

Plz mark brainliest:)

Answer:

25%

Step-by-step explanation:

On Monday, you run treadmill for 1/2 hour at x miles per hour. On Tuesday, you walk the same distance on the treadmill, at 2 mph slower, and it takes you 3/4 hour.
How many miles did you run on the treadmill on Monday?

Answers

Distance = rate * time

Let r = rate

 

Distance is the same for both runs,  so:

.5r = D =  3/4(r - 2)

 

Distribute (and convert .5):

2/4r = 3/4r - 3/2

 

Subtract 3/4 r from both sides:

-1/4r = -3/2

 

Multiply both sides by -4 to get a solitary r:

r = -3 * -4 / 2

r = 3 * 2

r = 6 miles per hour

 

.5 hours * 6 mi/hr = 3 miles

 

check:

6 - 2 = 4

3/4 hours * 4 mi/hr = 3 miles

Please help! I'm in a hurry

Answers

Answer:

the answer is 62

Step-by-step explanation:

you take  180 and subtract 118

Answer:

The answer should be 62, but i'm not positive so correct me if i'm wrong!

Explanation:

What I did is i added 118 and 118 then subtracted 360 by the sum. After that I divided the result by two which gave me 62, and I am almost sure that is the answer, but like I said i'm not positive. :)

yall play copter royale ?

Answers

Naww I don’t play that game

Answer:

i do i am right noww lol

Step-by-step explanation:

What the equation of the line that is perpendicular to the line y = −3x + 5 that goes through point D (9, 2)?

Answers

Answer:

y=1/3-1 ...............

Linda has outgrown the bike she rode when she was small. So, for her twelfth birthday, her parents surprise her with a five-speed Blaze Rider 2000! Linda has never had a bike with multiple speeds before, and she is eager to learn how it works. She starts by testing the middle speed. There is a proportional relationship between the number of times Linda pedals, x, and the number of times the wheels rotate, y. The equation that models this relationship is y=3x. How many times do the wheels rotate when Linda pedals 2 times? Write your answer as a whole number or decimal

Answers

Answer:

6 times

Step-by-step explanation:

Given the proportuonal relationship between exists between the number times Linda pedals (x) and the number of times wheels rotate (y) as ;

y = 3x

How many times do the wheels rotate when Linda pedals 2 times

Here, x = 2

From ; y = 3x

y = 3(2) = 6

Hence, wheel rotates 6 times.

Answer:

Step-by-step explanation:

Which ordered pair is in the solution set of 2x - 5y ≥ 10?
a.(-2,1)
b.(-5,-2)
c.(0,5)
d.(6,0)

Answers

(3,5)

Step-by-step explanation:

Answer:

5,0

Step-by-step explanation:

Use the website Desmos to help u in this question

Solve for f 7a - 3d + 6f = 5

Answers

Answer:

f = 5/6 - 7a/6 + d/2

Step-by-step explanation:

HELP PLEASE HELP I’m doing geometry please help

Answers

Answer:

(4x - 10) + x = 90 degrees

x = 20

A shelf in the basement held 7 one-gallon cans that were each 3/4 full of paint of the same color. Hand combines all of the paint. Hank used 3 1/3 cans of the combined paint a hallway. How many gallons of paint were left?​

Answers

Answer:

1.91666667

Step-by-step explanation:

7 times 3/4 = 5.25

5.25 - 3 1/3 = 1.91666667

HELP PLEASE ASAP
Which of the following are irrational numbers?
55
53
✓20
71
Submit

Answers

Answer: √20

Step-by-step explanation:

4.47213595 (the 5 repeats)

338 points in 16 games. how many points did they make per game?​

Answers

21.125 (21) points in each game.
just divide 338 by 16.
-hope this helps
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