SOLUTION: 5 times Jake's age equals 120 minus 3 times Cindy's age, and 2 times Jake's age plus 3 times Cindy's age equals 66. What is each person's age?

Question 1002133: 5 times Jake's age equals 120 minus 3 times Cindy's age, and 2 times Jake's age plus 3 times Cindy's age equals 66. What is each person's age?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
5 times Jake's age equals 120 minus 3 times Cindy's age, and 2 times Jake's age plus 3 times Cindy's age equals 66. What is each person's age?
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Equations:
5*j = 120-3c
2j+3c = 66
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Rearrange:
5j + 3c = 120
2j + 3c = 66
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Subtract and solve for "j"::
3j = 54
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jake's age = 18 yrs
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Solve for "c":
2j + 3c = 66
36 + 3c = 66
3c = 30
Cindy's age = 10 yrs.
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Cheers,
Stan H.
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