Question 144

The average age of a man and his son is 54 years. The ratio of their ages is 23 : 13 respectively. What will be ratio of their ages after 6 years?

Solution

Let age of man = $$23x$$ and age of son = $$13x$$

Sum of ages of man and son = 54 * 2 = 108 years

=> $$23x + 13x = 108$$

=> $$x = \frac{108}{36} = 3$$

=> Age of man = 23 * 3 = 69 years

Age of son = 13 * 3 = 39 years

=> Age of man after 6 years = 69 + 6 = 75 years

Age of son after 6 years = 39 + 6 = 45 years

$$\therefore$$ Required ratio = 75 : 45 = 5 : 3

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