Four children made the following statements.
Rebecca : Natalie is 2 kg heavier than Amelia.
Amelia : Our masses are in consecutive order.
Lilian : The average of Rebecca's mass and my mass is 32 kg.
Natalie : I am the heaviest.

What is the total mass of Lilian, Natalie and Rebecca ?
Order of the mass of 4 children:
_____ , Amelia, _____ , Natalie (Heaviest)

Total mass of Lilian and Rebecca
= 2 x 32
= 64 kg

For Lilian and Rebecca,
Mass of the lighter one = 1 u
Mass of the heavier one = 1 u + 2

Total mass of Lilian and Rebecca
= 1 u + 1 u + 2
= 2 u + 2

2 u + 2 = 64
2 u = 64 - 2
2 u = 62

1 u = 62 ÷ 2 = 31

The mass of the four children in consecutive order is 31, 32, 33 and 34.

Total mass of Lilian, Natalie and Rebecca
= 31 + 33 + 34
= 98

Answer(s): 98 kg