SOLUTION: The sum of the ages of Fran and Laura is 33 years. In two years, 3 times Fran's age will be one year less than 4 times Laura's age. How old is each now?

Question 809297: The sum of the ages of Fran and Laura is 33 years. In two years, 3 times Fran's age will be one year less than 4 times Laura's age. How old is each now?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
F + L = 33
F = 33 - L
3(F + 2) = 4(L + 2) - 1
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3F + 6 = 4L + 8 - 1
3F = 4L + 1
3(33 - L) = 4L + 1
99 - 3L = 4L + 1
7L = 98
Answer:
L = 14
F = 19
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