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,

$$D=2H $$          --1

$$N+5=H$$          --2

$$D+5=3(N+5)$$        --3

$$D+5=3N+15$$

$$2D+5=3N+15$$ (from 1)

$$\frac{2H-10}{3}=N$$         --4

Putting values of 4 in 2,

$$\frac{2N-10}{3} +5=H $$

$$2H-10+15=3H$$

$$H=5  years$$

Option D is correct.


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