Four children made the following statements.
Raeann : Evan is 2 kg heavier than Jayden.
Jayden : Our masses are in consecutive order.
Lucas : The average of Raeann's mass and my mass is 25 kg.
Evan : I am the heaviest.

What is the total mass of Lucas, Evan and Raeann ?
Order of the mass of 4 children:
_____ , Jayden, _____ , Evan (Heaviest)

Total mass of Lucas and Raeann
= 2 x 25
= 50 kg

For Lucas and Raeann,
Mass of the lighter one = 1 u
Mass of the heavier one = 1 u + 2

Total mass of Lucas and Raeann
= 1 u + 1 u + 2
= 2 u + 2

2 u + 2 = 50
2 u = 50 - 2
2 u = 48

1 u = 48 ÷ 2 = 24

The mass of the four children in consecutive order is 24, 25, 26 and 27.

Total mass of Lucas, Evan and Raeann
= 24 + 26 + 27
= 77

Answer(s): 77 kg