document.write( "Question 52910This question is from textbook algebra structure and method
\n" ); document.write( ": 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?\r
\n" ); document.write( "\n" ); document.write( "(26,27,28) possible ages for auditorium\r
\n" ); document.write( "\n" ); document.write( "Write an equation as well as solve. \n" ); document.write( "
Algebra.Com's Answer #35353 by tutorcecilia(2152)\"\" \"About 
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Age of the Auditorium = unknown = n
\n" ); document.write( "Age of the Gym = n-21 [The gym is 21 years newer than the auditorium]
\n" ); document.write( "Age of the Gym = (1/4)n [the gym is also one fourth as old as the auditorium]
\n" ); document.write( "Gym = Gym
\n" ); document.write( "So, n-21=(1/4)n
\n" ); document.write( "n-n-21=(1/4)n-n [Isolate all of the terms to one side of the equation]
\n" ); document.write( "21=(3/4)n
\n" ); document.write( "0=(3/4)n-21 [Equation of the problem]
\n" ); document.write( ".\r
\n" ); document.write( "\n" ); document.write( "(3/4)n -21=0 [solve for \"n\"]
\n" ); document.write( "(3/4)n-21+21=0+21
\n" ); document.write( "(3/4)n=21
\n" ); document.write( "(4/3)(3/4)n=(21)(4/3)
\n" ); document.write( "n=28= the age of the auditorium
\n" ); document.write( ".
\n" ); document.write( "Check by plugging (n=28) back into the original equations
\n" ); document.write( "Age of the Gym = n-21 = 28-21=7
\n" ); document.write( "Age of the Gym = (1/4)n = (1/4)(28/1)=7
\n" ); document.write( "[checks out]
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