# Q10. Aman’s age is three times his son’s age. Ten years ago he was five times his son’s age. Find their present ages.

Let the age of Aman's son is x years.

So the age of Aman will be 3x years.

Ten years ago, the age of Aman's son = x - 10 and Aman's age = 3x - 10.

So according to question,

5(x - 10) = 3x - 10

or                     5x - 50 = 3x - 10

Transposing 3x to the LHS and -50 to the RHS:

5x - 3x = -10 + 50 = 40

or                           2x  = 40

or                              x = 20

So      Aman's age = 3x = 60 years and

Aman's son's age = x = 20 years.

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