Rafi is as much younger than Sagar as he is older than Piyal. If the sum of the ages of Piyal and Sagar is 66 years, and Sagar's age is 48 years, then what is the difference between Rafi and Piyal's age?

Question: Rafi is as much younger than Sagar as he is older than Piyal. If the sum of the ages of Piyal and Sagar is 66 years, and Sagar's age is 48 years, then what is the difference between Rafi and Piyal's age?

Solution:
Sagar's age is 48 years
the sum of the ages of Piyal and Sagar is 66 years
∴ The age of Piyal is = 66 - 48 year
= 18 year

let, age of rafi is x

48 - x = x - 18
⇒ 2x = 66
∴ x = 33
the difference between Rafi and Piyal's age is = 33 - 18
= 15 years