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 o | MathCelebrity Forum

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 o

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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:
  1. a = b + 2
  2. b = 2c
  3. a + b + c = 42
Substituting equation (2) into equation (1), we have:
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
 
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