SOLUTION: Lee's mother is two more than three times Lee's age. The sum of their ages is 54. Write a linear equation to determine their ages.

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Question 1157030: Lee's mother is two more than three times Lee's age. The sum of their ages is 54. Write a linear equation to determine their ages.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
y, Lee
x, Mother
system%28x=3y%2B2%2Cx%2By=54%29

highlight_green%283y%2B2%2By=54%29------------Lee is 13.


highlight_green%28x=3%2854-x%29%2B2%29---------Lee's MOTHER is 41.
x=162-3x%2B2
4x=164
x=41

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Lee's mother is two more than three times Lee's age. The sum of their ages is 54. Write a linear equation to determine their ages.
Let Lee's age be L
The mother's is 54 - L
We then get: highlight_green%28matrix%281%2C3%2C+54+-+L%2C+%22=%22%2C+3L+%2B+2%29%29
It's obvious that when the above is solved, Lee's age will be known.
From there, his mother's can be too!