Multiple choice

25 persons were sitting in a boat. Their average weight increased one kilogram when one man leaves and a new man comes in. The weight of the new man is 70 kgs. Find the weight of the man who left.

  1. 45 kgs

  2. 52 kgs

  3. 48 kgs

  4. 47 kgs
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A Correct answer
Explanation

Let the total weight be W. When one man (x) leaves and another (70) enters, the new total is W - x + 70. The new average is (W - x + 70)/25 = W/25 + 1. This simplifies to -x + 70 = 25, so x = 45.

AI explanation

The total increase in weight for the 25 people is 25 multiplied by the 1 kilogram increase in the average, which equals 25 kg. This means the new man weighs 25 kg more than the man he replaced. Since the new man weighs 70 kg, the weight of the man who left is 70 minus 25, which equals 45 kg.

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