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Question

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 this mother's present age. What are their present ages?


Solution

Let Shobo's age be $$x$$ years.
$$\therefore$$ His mother's age will be: $$6x$$ years
After $$5$$ years, Shobo's age $$=\dfrac {\text {shobo's mother's present age}}{3}$$
As per the question, the equation
$$x + 5 = \dfrac {6x}{3}$$
$$x + 5 = 2x$$
$$x = 5$$
Present age of shobo: $$5$$ years
Shobo's mother age: $$6x = 6\times 5 = 30$$ years

Mathematics
NCERT
Standard VIII

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