SOLUTION: Christian is twice as old as Taskie while Dark is 24 years younger than Christian. If half of Christian's age is six years ago was three less than one-half the sum of Taskie's age

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Question 1193910: Christian is twice as old as Taskie while Dark is 24 years younger than Christian. If half of Christian's age is six years ago was three less than one-half the sum of Taskie's age in four years and Dark's present age, how old are these three boys?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Christian          2t
Taskie             t
Dark               2t-24

If half of Christian's age is six years ago was three less than one-half the sum of Taskie's age in four years and Dark's present age, %282t-6%29%2F2=-3%2B%281%2F2%29%28%28t%2B4%29%2B%282t-24%29%29
the description as an equation

Solve the equation and evaluate Christian's age and Dark's age.

t-3=-3%2B%281%2F2%29%28t%2B4%2B2t-24%29
t-3=-3%2B%281%2F2%29%283t-20%29
t=%281%2F2%29%283t-20%29
2t=3t-20
-t=-20
highlight%28t=20%29----------now find the other two values.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Christian is twice as old as Taskie while Dark is 24 years younger than Christian. If half of Christian's age is six years ago was three less than one-half the sum of Taskie's age in four years and Dark's present age, how old are these three boys? 
Let Taskie's age be T
Then Christian's is 2T, and Dark's is 2T - 24
We then get: 
                      2T = 3T - 20 ------ Cross-multiplying
                 2T - 3T = - 20
                     - T = - 20
     Taskie's age, or 
  
  Christian's age: 2(20) = 40
  Dark's age: 2(20) - 24 = 40 - 24 = 16