Question

The sum of two numbers is 12. The difference of the same two numbers is 24. what is the larger of the two numbers

Answer 1

The larger number is 18

Step-by-step explanation

Let x be the larger number and y be the smaller number.

Then,

`x+y=12--(1)`

`x-y=24--(2)`

Let us add equation (1) and (2).

`2x=36`

Divide through by 2

`x=18`

Put
`x=18` in to equation (1).

This implies that,

`18=y=12`

`y=12-18=-6`