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Question 152
The average age of a man and his son is 48 years. The ratio of their ages is 11 : 5 respectively. What will be ratio of their ages after 6 years ?
Solution
Let age of man = $$11x$$ and age of son = $$5x$$
Sum of ages of man and son = 48 * 2 = 96 years
=> $$11x + 5x = 96$$
=> $$x = \frac{96}{16} = 6$$
=> Age of man = 11 * 6 = 66 years
Age of son = 5 * 6 = 30 years
=> Age of man after 6 years = 66 + 6 = 72 years
Age of son after 6 years = 30 + 6 = 36 years
$$\therefore$$ Required ratio = 72 : 36 = 2 : 1
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