Question 177

Ravi has spent a quarter (1/4) of his life as a boy, one-fifth (1/5) as a youth, one-third (1/3) as man and thirteen (13) years in old age. What is his present age?

Solution

Let present age = $$x$$ years

Life spent as a boy = $$\frac{x}{4}$$ years

Similarly, life spent as youth = $$\frac{x}{5}$$ years

According to ques,

=> $$\frac{x}{4}+\frac{x}{5}+\frac{x}{3}+13=x$$

=> $$\frac{15x+12x+20x}{60}+13=x$$

=> $$\frac{47x+780}{60}=x$$

=> $$47x+780=60x$$

=> $$60x-47x=780$$

=> $$x=\frac{780}{13}=60$$ years

=> Ans - (C)

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