document.write( "Question 555415: George is 3 years older than his sister Janet. In 7 years she will be six-sevenths of his age. How old is George? \n" ); document.write( "

Algebra.Com's Answer #361769 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+g+\"$ = George's age now
\n" ); document.write( "Let $\"+j+\"$ = Janet's age now
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+g+=+j+%2B+3+\"$
\n" ); document.write( "(2) $\"+j+%2B+7+=+%286%2F7%29%2A%28+g+%2B+7+%29+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "(1) $\"+j+=+g+-+3+\"$
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+g+-+3+%2B+7+=+%286%2F7%29%2A%28+g+%2B+7+%29+\"$
\n" ); document.write( "(2) $\"+7%2A%28+g+%2B+4+%29+=+6%2A%28+g+%2B+7+%29+\"$
\n" ); document.write( "(2) $\"+7g+%2B+28+=+6g+%2B+42+\"$
\n" ); document.write( "(2) $\"+g+=+42+-+28+\"$
\n" ); document.write( "(2) $\"+g+=+14+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+j+=+g+-+3+\"$
\n" ); document.write( "(1) $\"+j+=+14+-+3+\"$
\n" ); document.write( "(1) $\"+j+=+11+\"$
\n" ); document.write( "George is 14
\n" ); document.write( "check answer
\n" ); document.write( "(2) $\"+j+%2B+7+=+%286%2F7%29%2A%28+g+%2B+7+%29+\"$
\n" ); document.write( "(2) $\"+11+%2B+7+=+%286%2F7%29%2A%28+14+%2B+7+%29+\"$
\n" ); document.write( "(2) $\"+18+=+%286%2F7%29%2A21+\"$
\n" ); document.write( "(2) $\"+18%2A7+=+6%2A21+\"$
\n" ); document.write( "(2) $\"+126+=+126+\"$
\n" ); document.write( "OK \n" ); document.write( "

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