SOLUTION: Ann is six years more than four times her son Trevor's age. If the sum of their ages is forty-six, how old is Ann?

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Question 28033: Ann is six years more than four times her son Trevor's age. If the sum of
their ages is forty-six, how old is Ann?

Answer by AnlytcPhil(1806)   (Show Source): You can put this solution on YOUR website!
Ann is six years more than four times her son Trevor's age. 
If the sum of their ages is forty-six, how old is Ann?

>>...Ann is six years more than four times her son Trevor's age...<<

Replace "Ann" by A and "her son Trevor's age" by T

Then you have 

A is six years more than four times T.

Replace the words "four times T" with "4T"

A is six years more than 4T

To find "six years more than 4T, we add 6 to 4T
and get 4T + 6, so replace "six years more than 4T"
by "4T + 6"

A is 4T + 6

Replace "is" by " = "

A = 4T + 6

>>...the sum of their ages is forty-six...<<

Replace "the sum of their ages" by A + T

A + T is forty-six.

Replace forty-six by 46 and "is" by " = "

A + T = 46.

So you have the system of equations:

A = 4T + 6
A + T = 46

Can to solve that system of equations? If not post again.

Answer: Ann is 38, Trevor is 8
 
Edwin
AnlytcPhil@aol.com
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