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Question 153
The average age of a man and his son is 18 years. The ratio of their ages is 5 : 1 respectively. What will be the ratio of their ages after 6 years ?
Solution
Let age of man = $$5x$$ and age of son = $$x$$
Sum of ages of man and son = 18 * 2 = 36 years
=> $$5x + x = 36$$
=> $$x = \frac{36}{6} = 6$$
=> Age of man = 5 * 6 = 30 years
Age of son = 1 * 6 = 6 years
=> Age of man after 6 years = 30 + 6 = 36 years
Age of son after 6 years = 6 + 6 = 12 years
$$\therefore$$ Required ratio = 36 : 12 = 3 : 1
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