Question 958971: Joe's present age is 2/3 that of Gail. In 8 years, Joe's age will be 4/5 that of Gail's. How old are they now? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Joe's present age is 2/3 that of Gail. In 8 years, Joe's age will be 4/5 that of Gail's. How old are they now?
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Equatiions:
j = (2/3)g
j+8 = (4/5)(g+8)
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Substitute for "j" and solve for "g"::
(2/3)g + 8 = (4/5)g + (4/5)8
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Multiply thru by 15 to get:
10g + 120 = 12g + 96
2g = 24
gail's age = 12 yrs (Gail's age now)
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Solve for "j":
j = (2/3)g
j = 8 yrs (Joe's age now)
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Cheers,
Stan H.
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