Four children made the following statements.
Anthony : Hannah is 2 kg heavier than William.
William : Our masses are in consecutive order.
Hazel : The average of Anthony's mass and my mass is 42 kg.
Hannah : I am the heaviest.

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

Total mass of Hazel and Anthony
= 2 x 42
= 84 kg

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

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

2 u + 2 = 84
2 u = 84 - 2
2 u = 82

1 u = 82 ÷ 2 = 41

The mass of the four children in consecutive order is 41, 42, 43 and 44.

Total mass of Hazel, Hannah and Anthony
= 41 + 43 + 44
= 128

Answer(s): 128 kg