The difference between Peter and Preeti’s ages is 5 years. When they married each other 35 years ago, 4 times Peter’s age was the same as 5 times the age of Preeti’s. What is the current sum of their ages?

Question

Question

This question was previously asked in

RRB ALP Previous Paper 6 (Held On: 13 Aug 2018 Shift 1)

Answer 1

Let Peter and Preeti's age be A and B respectively.

The difference between Peter and Preeti’s ages is 5 years,

⇒ A – B = 5

35 years ago, 4 times Peter’s age was the same as 5 times the age of Preeti’s,

⇒ 4(A – 35) = 5(B – 35)

⇒ 4A – 140 = 5B – 175

⇒ 5B – 4A = 35

Solving,

⇒ 5B – 4(5 + B) = 35

⇒ 5B – 20 – 4B = 35

⇒ B = 55

⇒ A = 60

∴ Sum of their present ages = 60 + 55 = 115 years