Question 52

The present ages of A and are in the ratio 15 : 8. After 8 years their ages will be in the ratio 17 : 10. What will be the ratio of ages of A and B after 10 years from now?

Solution

Let present age of A = $$15x$$ years and B = $$8x$$ years

According to ques,

=> $$\frac{15x+8}{8x+8}=\frac{17}{10}$$

=> $$150x+80=136x+136$$

=> $$14x=136-80=56$$

=> $$x=\frac{56}{14}=4$$

$$\therefore$$ Ratio of ages of A and B after 10 years from now = $$\frac{15\times4+10}{8\times4+10}$$

= $$\frac{70}{42}=5:3$$

=> Ans - (C)

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