SOLUTION: The combined age of a father and son is 84.in 6 years time,the father will be twice as old as the son was three years ago.how old are they now?

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Question 433005: The combined age of a father and son is 84.in 6 years time,the father will be twice as old as the son was three years ago.how old are they now?
Found 2 solutions by htmentor, ewatrrr:
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
Let f = Father's age
Let s = Son's age
Given:
f + s = 84
In 6 years' time, the father's age will be f+6.
Three years ago, the son's age was s-3.
So we can write the following equation:
f + 6 = 2(s - 3)
We have 2 equations and 2 unknowns. Solve for f in the 1st equation and put in the 2nd:
(84-s) + 6 = 2s - 6
Solve for s:
96 = 3s -> s = 32
So, the son is 32 yrs old and the father is 52 yrs old.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

The combined age of a father and son is 84

Let x and (84-x)represent the son's and fathers ages NOW

Question states***in 6 years...

 (84-x) +6 = 2(x-3)

Solving for x

   90 -x = 2x-6

     96 = 3x

     x = 32, son's age NOW.  The father is 52.  (84-32)



CHECKING our Answer***in 6 years...

    58 = 2*29