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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?

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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

Posted by

Divya Prakash Singh

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