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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?


Answer :

Let Shobo’s present age be x years.
And Shobo’s mother’s age = 6x years.

After 5 years Shobo’s age=(x + 5) years.

As per the condition given, we have

x + 5 =\( \frac { 1 }{ 3 }\) × 6x

\(\Rightarrow\) x + 5 = 2x

\(\Rightarrow\) 5 = 2x – x (Transposing x to RHS)

\(\Rightarrow\) 5 = x

Hence, Shobo’s present age = 5 years

and Shobo’s mother’s present age 6x = 6 × 5 = 30 years.

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