document.write( "Question 280112: The Brooklyn Bridge was built 54 years before the Golden Gate Bridge. In 1983 the Golden Gate Bridge was 23/50 the age of the Brooklyn Bridge. What year was each bridge built? \n" ); document.write( "

Algebra.Com's Answer #203551 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"y\"$ = the year the Brooklyn Bridge was built
\n" ); document.write( "Then $\"y+%2B+54\"$ = the year the Golden Gate was built
\n" ); document.write( "given:
\n" ); document.write( " $\"1983+-+%28y+%2B+54%29+=+%2823%2F50%29%2A%281983+-+y%29\"$
\n" ); document.write( " $\"50%2A%281929+-+y%29+=+23%2A%281983+-+y%29\"$
\n" ); document.write( " $\"96450+-+50y+=+45609+-+23y\"$
\n" ); document.write( " $\"27y+=+96450+-+45609\"$
\n" ); document.write( " $\"27y+=+50841\"$
\n" ); document.write( " $\"y+=+1883\"$
\n" ); document.write( " $\"y+%2B+54+=+1883+%2B+54\"$
\n" ); document.write( " $\"y+%2B+54+=+1937\"$
\n" ); document.write( "the Brooklyn Bridge was built in 1883
\n" ); document.write( "the Golden Gate Bridge was built in 1937
\n" ); document.write( "check answer:
\n" ); document.write( " $\"1983+-+y+-+54+=+%2823%2F50%29%2A%281983+-+y%29\"$
\n" ); document.write( " $\"1983+-+1883+-+54+=+%2823%2F50%29%2A%281983+-+1883%29\"$
\n" ); document.write( " $\"100+-+54+=+%2823%2F50%29%2A100\"$
\n" ); document.write( " $\"50%2A46+=+2300\"$
\n" ); document.write( " $\"2300+=+2300\"$
\n" ); document.write( "OK \n" ); document.write( "

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