document.write( "Question 268338: Melissa is 24 years younger than Joyce. In 2 years, Joyce will be 3 times as old as Melissa will be then. How old are they now? \n" ); document.write( "

Algebra.Com's Answer #196672 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"m\"$ = Mellisa's age now
\n" ); document.write( "Let $\"j\"$ = Joyce's age now
\n" ); document.write( " $\"m+%2B+2\"$ = Mellisa's age in 2 years
\n" ); document.write( " $\"j+%2B+2\"$ = Joyce's age in 2 years
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"m+=+j+-+24\"$
\n" ); document.write( "(2) $\"j+%2B+2+=+3%2A%28m+%2B+2%29\"$
\n" ); document.write( "---------------------------
\n" ); document.write( "From (2)
\n" ); document.write( "(2) $\"j+%2B+2+=+3m+%2B+6\"$
\n" ); document.write( "(2) $\"j+-+3m+=+4\"$
\n" ); document.write( "From (1)
\n" ); document.write( "(1) $\"m+=+j+-+24\"$
\n" ); document.write( "(1) $\"j+-+m+=+24\"$
\n" ); document.write( "Subtract (2) from (1)
\n" ); document.write( "(1) $\"j+-+m+=+24\"$
\n" ); document.write( "(2) $\"-j+%2B+3m+=+-4\"$
\n" ); document.write( " $\"2m+=+20\"$
\n" ); document.write( " $\"m+=+10\"$
\n" ); document.write( "and
\n" ); document.write( " $\"j+-+m+=+24\"$
\n" ); document.write( " $\"j+=+m+%2B+24\"$
\n" ); document.write( " $\"j+=+10+%2B+24\"$
\n" ); document.write( " $\"j+=+34\"$
\n" ); document.write( "Mellisa is 10 and Joyce is 34
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"j+%2B+2+=+3%2A%28m+%2B+2%29\"$
\n" ); document.write( "(2) $\"34+%2B+2+=+3%2A%2810+%2B+2%29\"$
\n" ); document.write( " $\"36+=+3%2A12\"$
\n" ); document.write( " $\"36+=+36\"$
\n" ); document.write( "OK\r
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