The ratio of present age of Amit is to Manish is 3 : 2, while five years ago, Amit’s age was two times of Manish’s age at that time. Five years hence, the sum of ages of Manish and Amit is equal to Lalit’s age at that time, then find present age of Lalit?

Explanation

Let present age of Manish = x ⇒ Present age of Amit = 1.5x Manish’s age five years ago = x – 5 Amit’s age five years ago = 2(x−5) = 2x – 10 But Amit’s age five years ago also equals to (1.5x – 5) ⇒ 2x – 10 = 1.5x – 5 ⇒ 0.5x = 5 ⇒ x = 10 Lalit’s age five years hence = 10 + 5 + 1.5 × 10 + 5 = 15 + 15 + 5 = 35 Lalit’s present age = 35 – 5 = 30