Multiple choice

Directions: Compare the two quantities in A and B. The averages of a husband, his wife and son three years ago was 27 years and that of his wife and son five years ago was 20 years. Quantity A Quantity B Husband`s present age 40

  1. Quantity A is greater than quantity B.

  2. Quantity B is greater than quantity A.

  3. Both quantities are equal.

  4. The relationship between the quantities cannot be determined.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let H, W, S be current ages. (H-3 + W-3 + S-3)/3 = 27 => H+W+S = 90. (W-5 + S-5)/2 = 20 => W+S = 50. Thus, H = 90 - 50 = 40. Quantity A is 40, Quantity B is 40. They are equal.

AI explanation

The sum of the present ages of the wife and son is (20 * 2) + (5 * 2) = 50 years. The sum of the present ages of the husband, wife, and son is (27 * 3) + (3 * 3) = 90 years. The husband's present age is found by subtracting the wife and son's combined age from the total, which is 90 - 50 = 40 years. Quantity A equals Quantity B, so both quantities are equal.

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