Seven years from now Virat will be twice as old as Mohinder. Five years ago, Mohinder’s age was one year less than 2/5 of Virat’s age. What is Virat’s present age?

Question

Question

This question was previously asked in

RRB ALP Previous Paper 1 (Held On: 9 Aug 2018 Shift 1)

Answer 1

Let ages of Virat and Mohinder be A and B years respectively.

Seven years from now Virat will be twice as old as Mohinder,

⇒ (A + 7) = 2(B + 7)

⇒ A – 2B = 7

Five years ago, Mohinder’s age was one year less than 2/5 of Virat’s age,

⇒ (B – 5) = 2/5(A – 5) – 1

⇒(B - 5) = \(\frac{2A - 10 - 5}{5}\)

⇒ 5B - 25 = 2A - 15

⇒ 2A – 5B = -10

⇒ 2(7 + 2B) – 5B = -10

⇒ B = 24

⇒ A = 7 + 48 = 55

∴ Virat’s age is 55 years.