Multiple choice

The average weight of 33 students in a class is 45 kg. If the weight of the teacher and a new student is to be included then the average of the whole class increases by 1 kg. Then what was the average weight of the teacher and the new student ?

  1. 55 kg

  2. 60 kg

  3. 72 kg

  4. 62.5 kg

  5. 56 kg

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

Initial sum = 33 * 45 = 1485. New sum = 35 * 46 = 1610. Sum of the two new people = 1610 - 1485 = 125. Average = 125 / 2 = 62.5 kg.

AI explanation

The original total weight of the 33 students is 33 times 45, which equals 1485 kg. The new total weight for the 35 people, including the teacher and the new student, is 35 times 46, which equals 1610 kg. The combined weight of the teacher and the new student is 1610 minus 1485, which equals 125 kg. Dividing this combined weight of 125 kg by 2 gives their average weight, which is 62.5 kg.