Four children made the following statements.
Michael : Noah is 2 kg heavier than Isabella.
Isabella : Our masses are in consecutive order.
Emma : The average of Michael's mass and my mass is 35 kg.
Noah : I am the heaviest.

What is the total mass of Emma, Noah and Michael ?
Order of the mass of 4 children:
_____ , Isabella, _____ , Noah (Heaviest)

Total mass of Emma and Michael
= 2 x 35
= 70 kg

For Emma and Michael,
Mass of the lighter one = 1 u
Mass of the heavier one = 1 u + 2

Total mass of Emma and Michael
= 1 u + 1 u + 2
= 2 u + 2

2 u + 2 = 70
2 u = 70 - 2
2 u = 68

1 u = 68 ÷ 2 = 34

The mass of the four children in consecutive order is 34, 35, 36 and 37.

Total mass of Emma, Noah and Michael
= 34 + 36 + 37
= 107

Answer(s): 107 kg