document.write( "Question 1088579: Isabel is 10 years older than Marie. In 2 years, twice Isabel's age will be equal to 3 times Marie's age. How old is each now? \n" ); document.write( "

Algebra.Com's Answer #702922 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = Isabel's age now
\n" ); document.write( "Let $\"+b+\"$ = Marie's age now
\n" ); document.write( "---------------------------
\n" ); document.write( "(1) $\"+a+=+b+%2B+10+\"$
\n" ); document.write( "(2) $\"+2%2A%28+a+%2B+2+%29+=+3%2A%28+b+%2B+2+%29+\"$
\n" ); document.write( "---------------------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+2%2A%28+b+%2B+10+%2B+2+%29+=+3%2A%28+b+%2B+2+%29+\"$
\n" ); document.write( "(2) $\"+2%2A%28+b+%2B+12+%29+=+3%2A%28+b+%2B+2+%29+\"$
\n" ); document.write( "(2) $\"+2b+%2B+24+=+3b+%2B+6+\"$
\n" ); document.write( "(2) $\"+b+=+24+-+6+\"$
\n" ); document.write( "(2) $\"+b+=+18+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+=+18+%2B+10+\"$
\n" ); document.write( "(1) $\"+a+=+28+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "Isabel is 28
\n" ); document.write( "Marie is 18
\n" ); document.write( "---------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+2%2A%28+a+%2B+2+%29+=+3%2A%28+b+%2B+2+%29+\"$
\n" ); document.write( "(2) $\"+2%2A%28+28+%2B+2+%29+=+3%2A%28+18+%2B+2+%29+\"$
\n" ); document.write( "(2) $\"+2%2A30+=+3%2A20+\"$
\n" ); document.write( "(2) $\"+60+=+60+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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