document.write( "Question 756709: Today, Jason is 5 years older than his brother Tim. Two years ago, Tim's age was 3/4 of Jason's age. What are their ages today? \n" ); document.write( "

Algebra.Com's Answer #460405 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+j+\"$ = Jason's age now
\n" ); document.write( "Let $\"+t+\"$ = Tim's age now
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+j+=+t+%2B+5+\"$
\n" ); document.write( "(2) $\"+t+-+2+=+%283%2F4%29%2A%28+j+-+2+%29+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( "(2) $\"+4%2A%28+t+-+2+%29+=+3%2A%28+j+-+2+%29+\"$
\n" ); document.write( "(2) $\"+4t+-+8+=+3j+-+6+\"$
\n" ); document.write( "(2) $\"+4t+-+3j+=+2+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+-t+%2B+j+=+5+\"$
\n" ); document.write( "(1) $\"+-3t+%2B+3j+=+15+\"$
\n" ); document.write( "Add (1) and (2)
\n" ); document.write( "(2) $\"+4t+-+3j+=+2+\"$
\n" ); document.write( "(1) $\"+-3t+%2B+3j+=+15+\"$
\n" ); document.write( " $\"+t+=+17+\"$
\n" ); document.write( " $\"+t+=+17+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+j+=+t+%2B+5+\"$
\n" ); document.write( "(1) $\"+j+=+17+%2B+5+\"$
\n" ); document.write( "(1) $\"+j+=+22+\"$
\n" ); document.write( "Jason is 22
\n" ); document.write( "Tim is 17
\n" ); document.write( "-----------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+t+-+2+=+%283%2F4%29%2A%28+j+-+2+%29+\"$
\n" ); document.write( "(2) $\"+17+-+2+=+%283%2F4%29%2A%28+22+-+2+%29+\"$
\n" ); document.write( "(2) $\"+15+=+%283%2F4%29%2A20+\"$
\n" ); document.write( "(2) $\"+60+=+3%2A20+\"$
\n" ); document.write( "(2) $\"+60+=+60+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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