Algebra Word Problem

Question

One number exceeds another by 9. The sum of the numbers is 29. What are the numbers?

Answer 1

Hello, thank you for taking the time to post your question!

You can use the information given in the question to set up an equation:

x + (x + 9) = 29

Solving that for x gives

2x + 9 = 29

2x = 20

x = 10

so the first number would be 10 and the second number would be (10 + 9) = 19.

I hope that helps get you moving in the right direction! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

19 and 10 are the numbers

19-10=9

19+10 =29

x+y=29

x-y= 9

add the equations

2x =38

x =38/2= 19

x=19

y=29-x =29-19=10

y=10

or

x+y = 29

x-y = 9

x = 9+y

substitute 9+y into 1st equation

9+y + y = 29

2y = 29-9 = 20

y = 20/2 = 10

x = 9+y = 9+10 = 19