Question

The sum of two numbers is 48, and their difference is 14. What are the two numbers?

Answer 1

`31` and `17`

Explanation:

If we call the two numbers `m` and `n`, then we have:

`{ (m+n = 48), (m-n = 14) :}`

Adding these two equations together, we get:

`2m = 62`

Then dividing both sides by `2` we get:

`m = 31`

Then from the first equation:

`n = 48-m = 48-31 = 17`