Question 328704: the sum of two integers is 42. their difference is 8 find the integers.
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! let x = one of the integers
let y = the other of the integers
The sum is 42 gets you x + y = 42
The difference is 8 gets you x - y = 8
You need to solve these 2 equations simultaneously to get your answers.
The equations are:
x + y = 42
x - y = 8
Add the 2 equations together to get:
2x = 50
Divide both sides of this equation by 2 to get:
x = 25
If x = 25, then x + y = 42 gets you y = 17
If x = 25 and y = 17, then x - y = 8 gets you 25 - 17 = 8 which becomes 8 = 8 which is true.
This confirms that the values of 25 for x and 17 for y are good.
Your answer is that the integers are 25 and 17.
25 + 17 = 42
25 - 17 = 8
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