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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?
Given :
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.
To do :
We have to find their present ages.
Solution :
Let the present age of Shobo be $x$.
This implies,
The present age of Shobo's mother $=6\times x$
$=6x$
Age of Shobo after 5 years $= x+5$
According to the question,
$ x+5= \frac{1}{3}(6x)$
$x+5 = 2x$
$2x-x = 5$
$x = 5$
The present age of Shobo $=5$ years
The present age of Shobo's mother $=6(5)$ years
$=30$ years
The present age of Shobo is 5 years and the age of her mother is 30 years.
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