Q.5 Shobo’s mother’s present age is six times Shobo’s present age. Shobo’s age five years from now will be one third of his mother’s present age. What are their present ages?

Answers (1)

Let us assume that the Shobo's present age be x.

So, Shobo's mother's present age = 6x.

Shobo's age five years from now will be = x + 5.

It is given that Shobo’s age five years from now will be one-third of his mother’s present age.

So, 

               x + 5 = \left ( \frac{1}{3} \right )\times6x = 2x

or             x + 5 = 2x

Transposing x to the RHS, 

                 5 = 2x - x = x

Hence Shobo's present age is x = 5 years

and      Shobo's mother's present age is 6x = 30 years

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