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?
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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