Question

The sum of a first and second number is 42. The difference between the first and second number is 24. What are the two numbers?

Answer 1

Larger = 33
Smaller = 9

Explanation:

let `x` be the greater number
let `y` be the lesser number

`x+y=42`
`x-y=24`

Add the two equations together:
`2x+y-y=24+42`

`2x=66`

`x=33`
`y=9`