Multiple choice

The average weight of 6 men decreases by 3 kg when one of them weighing 80 kg is replaced by a new man. The weight of the new man is

  1. 56 kg

  2. 58 kg

  3. 62 kg

  4. 76 kg

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total weight change = 6 * 3 = 18 kg decrease. New man = 80 - 18 = 62 kg.

AI explanation

Using the replacement method for averages, the total weight change equals the number of men multiplied by the decrease in the average. The total weight decrease is 6 men multiplied by 3 kg, which equals 18 kg. Since the new man is lighter than the man he replaces, subtract this 18 kg decrease from the original man's weight of 80 kg to find the new man's weight of 62 kg.