Question
Currently, the sum of ages of Karan and Tarun is 60
years. Three years ago, the ratio of their ages was 4:5. What is Tarun’s present age?Solution
ATQ,
Let the present age of Karan = y years
Then, present age of Tarun = (60 - y) years
According to the question,
(y - 3):(60 - y - 3) = 4:5
⇒ 5(y - 3) = 4(57 - y)
⇒ 5y - 15 = 228 - 4y
⇒ 9y = 243
⇒ y = 243 ÷ 9 = 27
So, present age of Tarun = 60 - 27 = 33 years
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