Four children made the following statements.
Lily : Anna is 2 kg heavier than Raeann.
Raeann : Our masses are in consecutive order.
Elizabeth : The average of Lily's mass and my mass is 36 kg.
Anna : I am the heaviest.

What is the total mass of Elizabeth, Anna and Lily ?
Order of the mass of 4 children:
_____ , Raeann, _____ , Anna (Heaviest)

Total mass of Elizabeth and Lily
= 2 x 36
= 72 kg

For Elizabeth and Lily,
Mass of the lighter one = 1 u
Mass of the heavier one = 1 u + 2

Total mass of Elizabeth and Lily
= 1 u + 1 u + 2
= 2 u + 2

2 u + 2 = 72
2 u = 72 - 2
2 u = 70

1 u = 70 ÷ 2 = 35

The mass of the four children in consecutive order is 35, 36, 37 and 38.

Total mass of Elizabeth, Anna and Lily
= 35 + 37 + 38
= 110

Answer(s): 110 kg