Multiple choice

The average weight of men 'X', 'Y' and 'Z' is 75 kg. Another man 'A' joins the group and the average weight now becomes 80 kg. If another person 'B', whose weight is 5 kg more than 'A', replaces 'X', then the average weight of 'Y', 'Z', 'A' and 'B' will be 85 kg. What is the weight of 'X'?

  1. 80 kg

  2. 84 kg

  3. 82 kg

  4. 78 kg
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

X+Y+Z = 225. X+Y+Z+A = 320 -> A = 95. B = A + 5 = 100. Y+Z+A+B = 85 * 4 = 340. Y+Z+95+100 = 340 -> Y+Z = 145. X = 225 - (Y+Z) = 225 - 145 = 80.

AI explanation

The total weight of X, Y and Z is 75 * 3 = 225 kg. When A joins, the total becomes 80 * 4 = 320 kg, making A's weight 320 - 225 = 95 kg. B weighs 5 kg more than A, so B is 100 kg. The total weight of Y, Z, A and B is 85 * 4 = 340 kg. Therefore, X's weight is calculated as (Y + Z + A + B) minus (Y + Z + A), which is 340 - 320 = 80 kg.

Keep practicing — related questions