Question
The total of ages of Nitin and Sumit at present is 60 years. Four years ago, the ratio of their ages was 6:7. Find the present age of Sumit.
Solution
ATQ,
Let the present age of Nitin = y years
Then, present age of Sumit = (60 - y) years
According to the question,
(y - 4):(60 - y - 4) = 6:7
⇒ 7(y - 4) = 6(56 - y)
⇒ 7y - 28 = 336 - 6y
⇒ 13y = 364
⇒ y = 364 ÷ 13 = 28
So, present age of Sumit = 60 - 28 = 32 years
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