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### Question

The ratio of ages of P and Q today is ${10/41}$. After 3 years, their ages will be in the ratio ${11/42}$. What is the age of P today?

**A**

30 years.

**B**

31 years.

**C**

29 years.

**D**

32 years.

**Soln.**

**Ans: a**

Let the ages of P and Q be 10x and 41x. After 3 years the ratio would be ${10x + 3}/{41x + 3}$ = ${11/42}$. Solving, we get x = 3. So age of P = 10 × 3 = 30.