Question

Question #eea54

Answer 1

`a + (a - 14) = 34`, so `2a = 48 and a = 24`, `24-14 = 10` so the two numbers are 10 and 24.

Explanation:

The sum of the two numbers is 34 and their difference is 14, so we can say:

`a + b = 34` and then substitute `(a-14)` for `b`.

This gives us `a + (a - 14) = 34` which leads to `2a = 48`. Dividing both sides by 2 we then have `a = 24`. Then putting `24` in for `a` in `(a - 14)` we find that `b = 10`. By substituting `24` and `10` for `a` and `b` we see that this is true. `24 + 10 = 34` and the difference between `24` and `10` is `14`.