Question 80

The ratio of present ages of R and S is 11:17. Before 11 years the ratio of their ages was 11:20. What is R's present age (in years)?

Solution

Let present ages of R and S be $$11x$$ and $$17x$$ respectively

According to ques,

=> $$\frac{11x-11}{17x-11}=\frac{11}{20}$$

=> $$\frac{x-1}{17x-11}=\frac{1}{20}$$

=> $$20x-20=17x-11$$

=> $$20x-17x=20-11$$

=> $$3x=9$$

=> $$x=\frac{9}{3}=3$$

$$\therefore$$ R's present age = $$11 \times 3=33$$ years

=> Ans - (B)

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