Question 947963: A gym is 21 years newer than the auditorium. The gym is also one fourth as old as the auditorium. How old is each building? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A gym is 21 years newer than the auditorium. The gym is also one fourth as old as the auditorium. How old is each building?
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Equations:
g = a - 21
g = (1/4)a
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Substitute for "g" and solve for "a":
a - 21 = (1/4)a
(3/4)a = 21
a = 28 yrs (age of the auditorium)
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g = a-21 = 7 yrs (age of the gym)
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Cheers,
Stan H.
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