Question

At present, the total age of Sohan and Rohan is 60 years. Five years back, the ratio of their ages was 2:3. What is Rohan’s current age?

A 45 yrs Correct Answer Incorrect Answer
B 35 yrs Correct Answer Incorrect Answer
C 65 yrs Correct Answer Incorrect Answer
D 55 yrs Correct Answer Incorrect Answer

Solution

ATQ,

Let the present age of Sohan = y years

Then, present age of Rohan = (60 - y) years

According to the question,

(y - 5):(60 - y - 5) = 2:3

⇒ 3(y - 5) = 2(55 - y)

⇒ 3y - 15 = 110 - 2y

⇒ 5y = 125

⇒ y = 125 ÷ 5 = 25

So, present age of Rohan = 60 - 25 = 35 years

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