Four children made the following statements.
Matthew : Owen is 2 kg heavier than Levi.
Levi : Our masses are in consecutive order.
Mason : The average of Matthew's mass and my mass is 48 kg.
Owen : I am the heaviest.

What is the total mass of Mason, Owen and Matthew ?
Order of the mass of 4 children:
_____ , Levi, _____ , Owen (Heaviest)

Total mass of Mason and Matthew
= 2 x 48
= 96 kg

For Mason and Matthew,
Mass of the lighter one = 1 u
Mass of the heavier one = 1 u + 2

Total mass of Mason and Matthew
= 1 u + 1 u + 2
= 2 u + 2

2 u + 2 = 96
2 u = 96 - 2
2 u = 94

1 u = 94 ÷ 2 = 47

The mass of the four children in consecutive order is 47, 48, 49 and 50.

Total mass of Mason, Owen and Matthew
= 47 + 49 + 50
= 146

Answer(s): 146 kg