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The difference between the ages of Aditya and his mother is 20 years. After 5 years, his mother’s age will be twice Aditya’s age at that time. Find Aditya’s present age.

1. 12 years
2. 15 years
3. 10 years
4. 20 years

Correct answer: 15 years

Solution

Let Aditya’s present age be $x$ and his mother’s present age be $x+20$. After 5 years, their ages will be $x+5$ and $x+25$. Given that the mother’s age then is twice Aditya’s age, $x+25=2(x+5)$, which gives $x=15$.

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