Rekha is 3 years older than Anima. 6 years ago Rekha's age was 4 times that of Anima. Find the present age of Rekha and Anima.
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Rekha is 3 years older than Anima. 6 years ago Rekha's age was 4 times that of Anima. Find the present age of Rekha and Anima.
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Solution

: Let the present age of Anima $=x$ years

Then, present age of Rekha $=(x+3)$ years

6 years ago Anima's age $=(x-6)$ years

6 years ago Rekha's age $=(x+3-6)$ years

According to question, $x+3-6=4(x-6)$

or, $x-3=4 x-24$

or, $\quad x-4 x=-24+3$

or, $\quad-3 x=-21$

or,

$x=\frac{-21}{-3}=7$

Present age of Anima $=7$ years

Present age of Rekha $=(7+3)$ years $=10$ years.

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