Question 119

The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:

Solution

Let present age of husband, wife and child beĀ $$h,w,c$$ years respectively.

Average age of husband, wife and their child 3 years agoĀ = 27 years

=> Total present ages ofĀ husband, wife and their child = $$(27+3)\times3$$

=> $$h+w+c=90$$ ---------(i)

Similarly, present ageĀ of wife and the childĀ = $$(20+5)\times2$$

=> $$w+c=50$$

Subtracting equation (ii) from (i), we getĀ :

=> $$h=90-50=40$$

$$\therefore$$Ā The present age of the husbandĀ =Ā 40 years

=> Ans - (B)


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