a is 2 years older than b who is twice as old as c. if the total ages of a,b and c is 42, then how old is b
We're given 3 equations:
a = 2c + 2
Since b = 2c, we substitute both of these into equation (3) to get:
2c + 2 + 2c + c = 42
To solve for c, we type this equation into our math engine and we get:
c = 8
Now take c = 8 and substitute it into equation (2) above:
b = 2(8)
b = 16
We're given 3 equations:
- a = b + 2
- b = 2c
- a + b + c = 42
a = 2c + 2
Since b = 2c, we substitute both of these into equation (3) to get:
2c + 2 + 2c + c = 42
To solve for c, we type this equation into our math engine and we get:
c = 8
Now take c = 8 and substitute it into equation (2) above:
b = 2(8)
b = 16