Question 10

The ratio of present ages of P and Q is 5 : 8. Three years later their ages will be in ratio 8 : 11. What is the present age (in years) of Q?

Solution

Let present ages of P and Q be $$5x$$ and $$8x$$ years respectively.

According to ques, 3 years later

=> $$\frac{5x+3}{8x+3}=\frac{8}{11}$$

=> $$55x+33=64x+24$$

=> $$64x-55x=33-24$$

=> $$9x=9$$

=> $$x=1$$

$$\therefore$$ Present age of Q = $$8\times1=8$$ years

=> Ans - (D)

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