Four children made the following statements.
Hazel : William is 2 kg heavier than Violet.
Violet : Our masses are in consecutive order.
Benjamin : The average of Hazel's mass and my mass is 50 kg.
William : I am the heaviest.

What is the total mass of Benjamin, William and Hazel ?
Order of the mass of 4 children:
_____ , Violet, _____ , William (Heaviest)

Total mass of Benjamin and Hazel
= 2 x 50
= 100 kg

For Benjamin and Hazel,
Mass of the lighter one = 1 u
Mass of the heavier one = 1 u + 2

Total mass of Benjamin and Hazel
= 1 u + 1 u + 2
= 2 u + 2

2 u + 2 = 100
2 u = 100 - 2
2 u = 98

1 u = 98 ÷ 2 = 49

The mass of the four children in consecutive order is 49, 50, 51 and 52.

Total mass of Benjamin, William and Hazel
= 49 + 51 + 52
= 152

Answer(s): 152 kg