Problema Solution

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

Choices for auditorium age: 26,27,28

Answer provided by our tutors

let


g = the age of the gym

a = the age of the auditorium


The gym is 21 years newer than the auditorium:


g = a - 21


The gym is also one fourth as old as the auditorium:


g = (1/4)a


by solving the system of equations


g = a - 21

g = (1/4)a


we find


a = 28 years


g = 7 years


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the auditorium is 28 years old.


the gym is 7 years old.