Rakhi's mother is four times as old as Rakhi.

Question:

Rakhi's mother is four times as old as Rakhi. After 5 years, her mother will be three times as old as she will be then. Find their present ages.

Solution:

Let the present age of Rakhi be $\mathrm{x}$.

Then, the present age of Rakhi's mother will be $4 \mathrm{x}$.

After five years, Rakhi 's age will be $(\mathrm{x}+5)$.

After five years, her mother's age will be $(4 \mathrm{x}+5)$.

$4 x+5=3(x+5)$

$\Rightarrow 4 x+5=3 x+15$

$\Rightarrow 4 x-3 x=15-5$

$\Rightarrow x=10$

Present age of Rakhi $=10$ years

Present age of Rakhi's mother $=4(\mathrm{x})=4 \times 10=40$ years

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