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  • 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.

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.

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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.

Posted by

Divya Prakash Singh

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