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Question 72
The average age of husband, wife and their child 4 years ago was 26 years and that of wife and child 3 years ago was 22 years. What is the present age of the husband?
Solution
Let the present ages of Husband, Wife and Child be H, W and C years respectively.
Given, $$\dfrac{H-4+W-4+C-4}{3} = 26 => H+W+C-12 = 78 => H+W+C = 90$$
$$\dfrac{W-3+C-3}{2} = 22 => W+C - 6 = 44 => W+C = 50$$
Substituting W+C = 50 in above equation.
H+50 = 90 => H = 40
Therefore, The present age of the husband = 40 years.
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