Four children made the following statements.
Salik : Charlotte is 2 kg heavier than Jacob.
Jacob : Our masses are in consecutive order.
Liam : The average of Salik's mass and my mass is 34 kg.
Charlotte : I am the heaviest.

What is the total mass of Liam, Charlotte and Salik ?
Order of the mass of 4 children:
_____ , Jacob, _____ , Charlotte (Heaviest)

Total mass of Liam and Salik
= 2 x 34
= 68 kg

For Liam and Salik,
Mass of the lighter one = 1 u
Mass of the heavier one = 1 u + 2

Total mass of Liam and Salik
= 1 u + 1 u + 2
= 2 u + 2

2 u + 2 = 68
2 u = 68 - 2
2 u = 66

1 u = 66 ÷ 2 = 33

The mass of the four children in consecutive order is 33, 34, 35 and 36.

Total mass of Liam, Charlotte and Salik
= 33 + 35 + 36
= 104

Answer(s): 104 kg