Question 80

The ratio of ages of the father and mother was 11:10 when their son was born. The ratio of ages of the father and mother will be 19:18 when the son will be twice his present age. What is the ratio of present ages of father and mother?

Solution

 Ratio of parents present age is 11:10 And the ratio of ages of the father and mother will be 19:18 when the son will be twice his present age

Let the present age of son be x

Then the twice age will be 2x

According to question:

$$\frac{11 + 2x}{10 + 2x} = \frac{19}{18}$$

$$18(11 + 2x) = 19(10 + 2x)$$

$$198 + 36x = 190 + 38x$$

$$8 = 2x$$

$$x = 4$$

Ratio of present ages will be:

$$\frac{11 + x}{10 + x} = \frac{11 + 4}{10 + 4}$$

Required ratio is: (15/14).

A is correct choice.


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