SOLUTION: Jenny and her cousin Jason share the same birthday. Jenny realized that on their next birthday, she would be 2 years less than 3 times Jason's age. If the sum of their ages will be

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Question 829800: Jenny and her cousin Jason share the same birthday. Jenny realized that on their next birthday, she would be 2 years less than 3 times Jason's age. If the sum of their ages will be 18 years, how old will Jenny and her cousin be on their next birthday?
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
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x = Jenny
y = Jason
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x + 1 = 3(y + 1) - 2
x + 1 + y + 1 = 18
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put the system of linear equations into standard form:
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x + 1 = 3y + 1
x + y + 2 = 18
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x - 3y = 0
x + y = 16
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their ages today:
x = Jenny = 12
y = Jason = 4
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their ages on their next birthday:
x = Jenny = 13
y = Jason = 5
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