SOLUTION: a girl is half her mothers age. the mother is five years younger than her father. they have all have a total of 100 years combined. how old is the girl.

Question 799730: a girl is half her mothers age. the mother is five years younger than her father. they have all have a total of 100 years combined. how old is the girl.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a girl is half her mothers age. the mother is five years younger than her father. they have all have a total of 100 years combined. how old is the girl.
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Equations:
g = (1/2)m
m = f - 5
g + m + f = 100
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Substitute for "g" and for "f" and solve for "m"::
(1/2)m + m + m+5 = 100
(5/2)m = 95
m = 38 (mother's age)
g = (1/2)m = 19 (daughter's age)
f = m+5 = 43 (father's age)
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Cheers,
Stan H.
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