If the sum of two numbers is 33 and their difference is 15, the smaller number is:

A 9

B 12

C 15

D 18

Solution

Correct Answer: Option A

x + y = 33{sum of two numbers is 33} ..........(1)

x - y = 15 {difference of two numbers is 15}..........(2)

eqn (1-2)

x+y-x+y=33-15

y=9