Answer:
Ameera = 25 kg
Maria = 15 kg
David = 23 kg
Step-by-step explanation:
Let:
A = Ameera Weight
M = Maria Weight
D = David Weight
Create equations to compare the children's weights:
D = 8 + M
A = 2 + D
63 = D + A + M
Solve simultaneous equations:
Substitute A = 2 + D
63 = M + 2 + D + D
63 = M + 2 + 2D
Now substitute D = 8 + M
63 = M + 2 + 2(8 + M)
63 = 3M + 18
Solve for M
Therefore M = 50/3
Maria weighs 16.67 kg!
Substitute M = 15 into D = 8 + M
D = 8 + 15
D = 23
David weighs 23 kg!
Substitute D = 23 into A = 2 + D
A = 2 + 23
A = 25
Ameera weighs 25 kg!
