document.write( "Question 644306: Two years from now, Jim will be twice as old as Joe will be then. Ten years ago, Jim was five times as old as Joe was. Find the present ago of each \n" ); document.write( "

Algebra.Com's Answer #404977 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = Jim's age now
\n" ); document.write( "Let $\"+b+\"$ = Joe's age now
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+2+=+2%2A%28+b+%2B+2+%29+\"$
\n" ); document.write( "(2) $\"+a+-+10+=+5%2A%28+b+-+10+%29+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "(1) $\"+a+%2B+2+=+2b+%2B+4+\"$
\n" ); document.write( "(1) $\"+a+-+2b+=+2+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+a+-+10+=+5b+-+50+\"$
\n" ); document.write( "(2) $\"+-a+%2B+5b+=+40+\"$
\n" ); document.write( "------------------
\n" ); document.write( "Add the equations
\n" ); document.write( " $\"+3b+=+42+\"$
\n" ); document.write( " $\"+b+=+14+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+a+-+2%2A14+=+2+\"$
\n" ); document.write( "(1) $\"+a+-+28+=+2+\"$
\n" ); document.write( "(1) $\"+a+=+30+\"$
\n" ); document.write( "Jim is 30 now
\n" ); document.write( "Joe is 14 now
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+-a+%2B+5b+=+40+\"$
\n" ); document.write( "(2) $\"+-30+%2B+5%2A14+=+40+\"$
\n" ); document.write( "(2) $\"+-30+%2B+70+=+40+\"$
\n" ); document.write( "(2) $\"+40+=+40+\"$
\n" ); document.write( "OK \n" ); document.write( "

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