SOLUTION: jane is 5 years older than tom. three times jane's age plus twice toms age is 35. what are the ages of jane and tom.

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Question 662342: jane is 5 years older than tom.
three times jane's age plus twice toms age is 35.
what are the ages of jane and tom.
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
x = jane
y = tom
x = y + 5
3x + 2y = 35
Substitute into the second equation
3(y+5) +2y = 35
3y + 15 + 2y = 35
5y = 35-15
5y = 20
y = 4
x = 4+5=9
Jane is 9 years old
Tom is 4 years old
Proof
4+5 = 9
3(9) + 2(4) = 35