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Question 1
Damini is twice as old as Hari. Had is 5 years older than Nipa. In 5 years, Damini will be three times as old as Nipa. How old is Hari now?
Solution
Let ages of DAmini, HAri and Nipa be D, H and N resp.
According to question,
$$D=2H $$Â Â Â Â Â Â --1
$$N+5=H$$ Â Â Â Â Â --2
$$D+5=3(N+5)$$ Â Â Â Â --3
$$D+5=3N+15$$
$$2D+5=3N+15$$ (from 1)
$$\frac{2H-10}{3}=N$$ Â Â Â Â --4
Putting values of 4 in 2,
$$\frac{2N-10}{3} +5=H $$
$$2H-10+15=3H$$
$$H=5Â years$$
Option D is correct.
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