document.write( "Question 222773: I need to write an equation for this algebra problem.\r
\n" ); document.write( "\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( "Choices for the Auditorium: 26, 27, 28
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Algebra.Com's Answer #166794 by nerdybill(7384)\"\" \"About 
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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?
\n" ); document.write( "Choices for the Auditorium: 26, 27, 28
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\n" ); document.write( "Let G = age of gym
\n" ); document.write( "and A = age of auditorium
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\n" ); document.write( "The gym is 21 years newer than the Auditorium.
\n" ); document.write( "G = A-21 (equation 1)
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\n" ); document.write( "The gym is also one fourth as old as the Auditorium.
\n" ); document.write( "G = (1/4)A (equation 2)
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\n" ); document.write( "Substitute the value of 'G' from equation 1 and plug it into equation 2 and solve for A:
\n" ); document.write( "A-21 = (1/4)A
\n" ); document.write( "4A - 84 = A
\n" ); document.write( "3A = 84
\n" ); document.write( "A = 28 years (age of auditorium)
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