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

ANSWER

The larger number is 18

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,

$18=y=12$

$y=12-18=-6$