The sum of two integers is 41, and their difference is 15. How do you find the integers?

Question

6867 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-09T20:03:41

$13$ and $28$

I'm going to give the first integer the variable $x$ , and the second integer the variable $y$ .

Based on the given information, these are the resulting equations:

$x + y = 41$ (The sum of two integers is 41)

$x - y = 15$ (Their difference is 15)

I'm going to rearrange the second equation and substitute it into the first one:

$x - y = 15$

$x = 15 +y$

Now substitute:

$x + y = 41$

$(15 + y) + y = 41$

$15 + 2y = 41$

$2y = 26$

$y = 13$

Now substitute that into another equation to solve for $x$ :

$x = 15 +y$

$x = 15 + 13$

$x = 28$