Question 56

The ratio of ages of A and B, 4 years ago, was 5 : 7. The ratio of their ages after 4 years from now will be 7 : 9. What will be the ratio of ages of A and B after 12 years from now?

Solution

Let ages of A and B 4 years age be $$5x$$ and $$7x$$ years respectively.

=> Ratio of ages 4 years from now (i.e. 8 years from then) = $$\frac{5x+8}{7x+8}=\frac{7}{9}$$

=> $$45x+72=49x+56$$

=> $$4x=16$$

=> $$x=4$$

Ratio of ages 12 years from now = $$\frac{5(4)+16}{7(4)+16}=\frac{36}{44}$$

= $$9:11$$

=> Ans - (C)

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