document.write( "Question 1103807: harry is 20 years older than ian..five years from now, ian will be 3/5 as old as harry.how old is each now? \n" ); document.write( "

Algebra.Com's Answer #718499 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = Harry's age now
\n" ); document.write( "Let $\"+b+\"$ = Ian's age now
\n" ); document.write( "-----------------------------
\n" ); document.write( "(1) $\"+a+=+b+%2B+20+\"$
\n" ); document.write( "(2) $\"+b+%2B+5+=+%283%2F5%29%2A%28+a+%2B+5+%29+\"$
\n" ); document.write( "-----------------------------
\n" ); document.write( "(2) $\"+5%2A%28+b+%2B+5+%29+=+3%2A%28+a+%2B+5+%29+\"$
\n" ); document.write( "(2) $\"+5b+%2B+25+=+3a+%2B+15+\"$
\n" ); document.write( "(2) $\"+3a+-+5b+=+10+\"$
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+3%2A%28+b+%2B+20+%29++-+5b+=+10+\"$
\n" ); document.write( "(2) $\"+3b+%2B+60+-+5b+=+10+\"$
\n" ); document.write( "(2) $\"+5b+-+3b+=+50+\"$
\n" ); document.write( "(2) $\"+2b+=+50+\"$
\n" ); document.write( "(2) $\"+b+=+25+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+=+b+%2B+20+\"$
\n" ); document.write( "(1) $\"+a+=+25+%2B+20+\"$
\n" ); document.write( "(1) $\"+a+=+45+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "Harry is 45 now
\n" ); document.write( "Ian is 25 now
\n" ); document.write( "----------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+b+%2B+5+=+%283%2F5%29%2A%28+a+%2B+5+%29+\"$
\n" ); document.write( "(2) $\"+25+%2B+5+=+%283%2F5%29%2A%28+45+%2B+5+%29+\"$
\n" ); document.write( "(2) $\"+30+=+%283%2F5%29%2A50+\"$
\n" ); document.write( "(2) $\"+30+=+30+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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