Question

Find two numbers whose sum is 24 and whose difference is 6.

Answer 1

9 and 15

Explanation:

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

x +y= 24 -----(1)

x -y= 6

x= y +6 -----(2)

Substitute (2) into (1):

y +6 +y= 24

2y +6= 24 (simplify)

2y= 24 -6 (-6 on both sides)

2y= 18

y= 18 ÷2

y=9

Substitute y= 9 into (2):

x= 9 +6

x= 15

Thus the numbers are 9 and 15.