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Subash is half his father’s age now. Fifteen years ago, he was one-third of his father’s age.How old will Subash be after 5 years?

Question

Subash is half his father’s age now.

Fifteen years ago, he was one-third of his father’s age.

How old will Subash be after 5 years?

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Solution

Let's denote Subash's current age as S and his father's current age as F.

From the problem, we know two things:

  1. Subash is half his father’s age now. So, S = 1/2 * F or F = 2S.
  2. Fifteen years ago, Subash was one-third of his father’s age. So, S - 15 = 1/3 * (F - 15).

Now, we can substitute F from the first equation into the second equation:

S - 15 = 1/3 * (2S - 15) 3S - 45 = 2S - 15 3S - 2S = 45 + 15 S = 60

So, Subash is currently 60 years old. After 5 years, Subash will be 60 + 5 = 65 years old.

This problem has been solved

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