Billy is 8 kg lighter than cathy and ali is 6 kg ligther than billy. Their total mass is 146 kg.
A. Find the mass of cathy.
B. What is the mass of ali?
Let's assume that Cathy's mass is x kg
Billy's mass is x - 8 kg (since Billy weighs 8kg less than Cathy)
Ali's mass is (x - 8) - 6 kg = x - 14 kg (since Ali weighs 6kg less than Billy)
The total mass of all three is:
x + (x - 8) + (x - 14) = 146 kg
3x - 22 = 146
3x = 168
x = 168 / 3
x = 56
So Cathy's mass is 56 kg.
To find Ali's mass, we substitute x = 56 into the equation for Ali's mass:
x - 14 = 56 - 14 = 42
Therefore, Ali's mass is 42 kg.