The average age of husband, wife and their child 3 years ago was 27 years and…
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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
Answer: A. 40 years — Step-by-Step SolutionCalculate the sum of the present ages of the husband, wife, and child: Three years ago, their average age was 27, so their total age…
- A.
40 years
- B.
42 years
- C.
44 years
- D.
46 years
Attempted by 12 students.
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Correct answer: A
Step-by-Step Solution
Calculate the sum of the present ages of the husband, wife, and child:
Three years ago, their average age was 27, so their total age three years ago was 27 * 3 = 81 years.
To find their present total age, add 3 years for each of the three individuals: 81 + (3 * 3) = 81 + 9 = 90 years.
Calculate the sum of the present ages of the wife and child:
Five years ago, their average age was 20, so their total age five years ago was 20 * 2 = 40 years.
To find their present total age, add 5 years for each of the two individuals: 40 + (5 * 2) = 40 + 10 = 50 years.
Determine the husband's present age:
Subtract the total present age of the wife and child from the total present age of all three: 90 - 50 = 40 years.