The ratio of two numbers is 2 : 1. If each number is increased by 5, then the new ratio becomes 3 : 2. What is the sum of the numbers?

15 45 30 20

15

A : B = 2 : 1, After adding 5, the ratio becomes, A : B = 3 : 2 ⇒ (3 - 2)units = 5 ⇒ 1 unit = 5, ⇒ Sum of initial numbers = (2 + 1) unit x 5  = 3 x 5 = 15.