Question

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?

• A. 44 years
• B. 46 years
• C. 42 years
• D. 40 years

Answer 1

Answer:

D. 40 years

Solution: Given: Average of ages 4 years ago = 26 years Average of ages 3 years ago = 22 years Formula used: Average = (Sum of values)/(Number of values) Calculation: Let the present age of husband, wife and child be H, W and C respectively. 4 years ago, {(H - 4) + (W - 4) + (C - 4)}/3 = 26 ⇒ H + W + C - 12 = 78 ⇒ H + W + C = 90 3 years ago, {(W - 3) + (C - 3)}/2 = 22 ⇒ W + C - 6 = 44 ⇒ W + C = 50 Putting the value of W + C in equation (i), H + W + C = 90 ⇒ H + 50 = 90 ⇒ H = 40 ∴ The present age of the husband is 40 years.