Question

two numbers whose sum is 36 and whose difference is 9

Answer 1

Let the two numbers be x and y

x + y = 36 ----(1)

x - y = 9 ------ (2)

Add both (1) and (2)

2x = 45

x = 45/2 = 22 1/2

substitute value of x in (1)

45/2 + y = 36

45 + 2y = 36 × 2

2y = 72 - 45

2y = 27

y = 27/2 = 13 1/2

The numbers are 22 1/2 and 13 1/2