Three years ago, the average age of a husband, wife and child was 26 years, and that of the wife and the child, 5 years ago, was 20 years. The present age of the husband is:

Let the present age of husband, wife and child are $$H, W, C$$ respectively

Given,

Three years ago, the average age of husband, wife and child was 26 years

$$=$$> $$\frac{\left(H-3\right)+\left(W-3\right)+\left(C-3\right)}{3}=26$$

$$=$$> $$H+W+C-9=78$$

$$=$$> $$H+W+C=87$$ .....................(1)

Five years ago, the average age of wife and child was 20 years

$$=$$> $$\frac{\left(W-5\right)+\left(C-5\right)}{2}=20$$

$$=$$> $$W+C-10=40$$

$$=$$> $$W+C=50$$ ...............................(2)

Subtract equation(2) from equation(1),

$$=$$> H = 37 years

$$\therefore\ $$Present age of husband = 37 years

Hence, the correct answer is Option A