document.write( "Question 267712: Marla is 5 years younger than her friend Carey. Five years ago the sum of their ages was 41. How old is each of them now? \n" ); document.write( "

Algebra.Com's Answer #196387 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"m\"$ = Marla's age now
\n" ); document.write( "Let $\"c\"$ = Carey's age now
\n" ); document.write( "Then $\"m+-+5\"$ = Marla's age five years ago
\n" ); document.write( "And $\"c+-+5\"$ = Carey's age five years ago
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"m+=+c+-+5\"$
\n" ); document.write( "(2) $\"m+-+5+%2B+c+-+5+=+41\"$
\n" ); document.write( "------------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( " $\"c+-+5+-+5+%2B+c+-+5+=+41\"$
\n" ); document.write( " $\"2c+-+15+=+41\"$
\n" ); document.write( " $\"2c+=+56\"$
\n" ); document.write( " $\"c+=+28\"$
\n" ); document.write( "and, since
\n" ); document.write( " $\"m+=+c+-+5\"$
\n" ); document.write( " $\"m+=+28+-+5\"$
\n" ); document.write( " $\"m+=+23\"$
\n" ); document.write( "Marla is 23 and Carey is 28 now
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"m+-+5+%2B+c+-+5+=+41\"$
\n" ); document.write( "(2) $\"23+-+5+%2B+28+-+5+=+41\"$
\n" ); document.write( " $\"51+-+10+=+41\"$
\n" ); document.write( " $\"41+=+41\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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