document.write( "Question 1109141: The sum of one half of heather's age two years from now and one third of her age three years ago is 20. How old is she? \n" ); document.write( "

Algebra.Com's Answer #724151 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+x+\"$ = her age now
\n" ); document.write( " $\"+%281%2F2%29%2A%28+x+%2B+2+%29+%2B+%281%2F3%29%2A%28+x+-+3+%29+=+20+\"$
\n" ); document.write( "Multiply both sides by $\"+6+\"$
\n" ); document.write( " $\"+3%2A%28+x+%2B+2+%29+%2B+2%2A%28+x+-+3+%29+=+120+\"$
\n" ); document.write( " $\"+3x+%2B+6+%2B+2x+-+6+=+120+\"$
\n" ); document.write( " $\"+5x+=+120+\"$
\n" ); document.write( " $\"+x+=+24+\"$
\n" ); document.write( "She is 24 now
\n" ); document.write( "---------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+%281%2F2%29%2A%28+x+%2B+2+%29+%2B+%281%2F3%29%2A%28+x+-+3+%29+=+20+\"$
\n" ); document.write( " $\"+%281%2F2%29%2A26+%2B+%281%2F3%29%2A21+=+20+\"$
\n" ); document.write( " $\"+13+%2B+7+=+20+\"$
\n" ); document.write( " $\"+20+=+20+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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