SOLUTION: The age of Toni's dad is six times his age and the age of Toni's mom is two less than the age of his dad. 3 years ago, the sum of the ages of Toni's parents is equal to five times

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Question 1091920: The age of Toni's dad is six times his age and the age of Toni's mom is two less than the age of his dad. 3 years ago, the sum of the ages of Toni's parents is equal to five times Toni's age in 5 years plus his age three years ago. Find the age of Toni's parents.
Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
 Let:
T = Toni's age now
D = Toni's Dad's age now
M = Toni's Mom's ag now

The age of Toni's dad is six times his age 
D = 6T

and the age of Toni's mom is two less than the age of his dad. 
M = D-2

3 years ago, the sum of the ages of Toni's parents is equal to...
(D-3)+(M-3) = ...

five times Toni's age in 5 years plus his age three years ago. 
... =  5(T+5) + (T-3)

(D-3)+(M-3) = 5(T+5) + (T-3)

Find the age of Toni's parents.
This is the system:

system%28D+=+6T%2C+M+=+D-2%2C+%28D-3%29%2B%28M-3%29+=+5%28T%2B5%29+%2B+%28T-3%29%29

Simplify it to this:

system%28D+=+6T%2C+D+=+M+%2B+2%2C+D+%2B+M+=+6T+%2B+28%29

Subtract the 1st equation from the 3rd equation and solve for
M and you'll get the value for M.  Substitute that value for M
in the 2nd equation to find the value for D.  Substitute that
value for D in the 1st equation and solve for T.

D = ?, M = ?, T = ?

Edwin