Multiple choice

The average weight of 17 boys is 92 kg. If 18 new boys join the group, the average weight increases by 3 kg. What will be the average weight of the new 18 boys?

  1. $94.832 kg.$
  2. $95.73 kg.$
  3. $96.43 kg.$
  4. $98.83 kg.$
  5. $97.83 kg.$
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

The total weight of 17 boys = 17 × 92 = 1564 kg. When 18 new boys join, total boys = 35 and new average = 92 + 3 = 95 kg, so new total weight = 35 × 95 = 3325 kg. Weight of 18 new boys = 3325 - 1564 = 1761 kg. Their average = 1761/18 = 97.83 kg. Option E matches this value.