document.write( "Question 1013314: Molly is one third the age of her mom. In 12 years, Molly will be half the age of her mom. How old are Molly and her Mom, now? \n" ); document.write( "

Algebra.Com's Answer #629566 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = Molly's age now
\n" ); document.write( "Let $\"+b+\"$ = Mom's age now
\n" ); document.write( "---------------------------
\n" ); document.write( "(1) $\"+a+=+%281%2F3%29%2Ab+\"$
\n" ); document.write( "(2) $\"+a+%2B+12+=+%281%2F2%29%2A%28+b+%2B+12+%29+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( "(1) $\"+b+=+3a+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+a+%2B+12+=+%281%2F2%29%2Ab+%2B+6+\"$
\n" ); document.write( "(2) $\"+a+%2B+6+=+%281%2F2%29%2Ab+\"$
\n" ); document.write( "(2) $\"+2a+%2B+12+=+b+\"$
\n" ); document.write( "-------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+2a+%2B+12+=+3a+\"$
\n" ); document.write( "(2) $\"+a+=+12+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+b+=+3a+\"$
\n" ); document.write( "(1) $\"+b+=+3%2A12+\"$
\n" ); document.write( "(1) $\"+b+=+36+\"$
\n" ); document.write( "---------------
\n" ); document.write( "Molly is 12
\n" ); document.write( "Her mom is 36
\n" ); document.write( "--------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+a+%2B+12+=+%281%2F2%29%2A%28+b+%2B+12+%29+\"$
\n" ); document.write( "(2) $\"+12+%2B+12+=+%281%2F2%29%2A%28+36+%2B+12+%29+\"$
\n" ); document.write( "(2) $\"+24+=+%281%2F2%29%2A48+\"$
\n" ); document.write( "(2) $\"+24+=+24+\"$
\n" ); document.write( "OK \n" ); document.write( "

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