Question 52910
Human-and-algebraic-language/52910 (2006-09-19 18:07:18): The 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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(26,27,28) possible ages for auditorium
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Write an equation as well as solve.
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:
a = age of the auditorium
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"The gym is 21 years newer than the auditorium."
[a-21] = age of the gym
:
"the gym is one fourth as old as the auditorium."
[a-21] = .25a
a -.25a = + 21
    .75a = 21
     a = 21/.75
     a = 28 years old

:
:
Check: Gym = 28 - 21 = 7 years, which is 1/4 of 28