Question 2

The present age of Rakshak is twice the present age of Son-al. Five years hence, Sonal’s age will be twice the present , age of Arati. Five years ago, the ratio of the ages of Arati and Kiran was 2 : 3 respectively. Kiran’s present age is 20 years. Find Rakshak’s present age.

Solution

Let Arati's age 5 years ago = $$2x$$

and Kiran's age 5 years ago = $$3x$$

=> Kiran's present age = $$(3x + 5) = 20$$ [Given]

=> $$x = \frac{15}{3} = 5$$

=> Arati's present age = $$2x + 5$$

= 2*5 + 5 = 15 years

Now, after 5 years Sonal’s age will be twice the present age of Arati

=> Sonal's age after 5 years = 2*15 = 30 years

and Sonal's present age = 30 - 5 = 25 years

$$\therefore$$ Rakshak's present age = 2*25 = 50 years

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