document.write( "Question 261387: Jack is 24 years older than Mary is now. Four years ago, he was seven times as old as Mary was then. How old is Jack now? \n" ); document.write( "

Algebra.Com's Answer #192583 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"j\"$ = Jack's age now
\n" ); document.write( "Let $\"m\"$ = Mary's age now
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"j+=+m+%2B+24\"$
\n" ); document.write( "(2) $\"j+-+4+=+7%2A%28m+-+4%29\"$
\n" ); document.write( "----------------------------
\n" ); document.write( "From (1),
\n" ); document.write( "(1) $\"j+-+m+=+24\"$
\n" ); document.write( "From (2),
\n" ); document.write( "(2) $\"j+-+4+=+7m+-+28\"$
\n" ); document.write( "(2) $\"j+-+7m+=+-24\"$
\n" ); document.write( "(2) $\"-j+%2B+7m+=+24\"$
\n" ); document.write( "Now add (1) and (2)
\n" ); document.write( " $\"j+-+m+=+24\"$
\n" ); document.write( " $\"-j+%2B+7m+=+24\"$
\n" ); document.write( " $\"6m+=+48\"$
\n" ); document.write( " $\"m+=+8\"$
\n" ); document.write( "And, since
\n" ); document.write( " $\"j+-+m+=+24\"$
\n" ); document.write( " $\"j+-+8+=+24\"$
\n" ); document.write( " $\"j+=+32\"$
\n" ); document.write( "Jack is 32 now
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"j+-+4+=+7%2A%28m+-+4%29\"$
\n" ); document.write( " $\"32+-+4+=+7%2A%288+-+4%29\"$
\n" ); document.write( " $\"28+=+7%2A4\"$
\n" ); document.write( " $\"28+=+28\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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