Question 41

Present ages of A and B are in ratio 3 : 5. 7 years later B's age will be twice the age of C. If C celebrated his 10 th birthday 4 years ago, then what is the present age (in years) of A?

Solution

C celebrated his 10th birthday 4 years ago, => C's present age = $$10+4=14$$ years

Also, B's age after 7 years = $$2\times(14+7)=2\times21=42$$ years

=> B's present age = $$42-7=35$$ years

$$\therefore$$ A's present age = $$\frac{3}{5}\times35=3\times7=21$$ years

=> Ans - (B)

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