SOLUTION: Matt is thinking of two numbers. One number is 9 more then other number. The sum of the numbers is 45. What are the numbers?

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Question 673937: Matt is thinking of two numbers. One number is 9 more then other number. The sum of the numbers is 45. What are the numbers?
Answer by Shana-D77(132) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the first number.
Let y be the second number.


"One number (y) is (=) 9 more than ( + 9) other number (x)."
y = x + 9


"sum of the numbers is 45."
x + y = 45


So we have:
y = x + 9
x + y = 45
Use substitution:
x + y = 45
x + (x + 9) = 45
2x + 9 = 45 (combined like terms)
2x = 36 (subtracted 9 from both sides)
x = 18 (divided both sides by 2)


Plug back in to find y:
y = x + 9
y = 18 + 9
y = 27


Your numbers are 18 and 27.