document.write( "Question 339465: michelle is 3 times my age, the sum of our ages is the same as six times my age 2 years ago. how old am i ? \n" ); document.write( "

Algebra.Com's Answer #243489 by Fombitz(32388) $\"\"$ $\"About$

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Let Michelle's age be M, my age be X.
\n" ); document.write( "1. $\"M=3X\"$
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\n" ); document.write( "Two years ago, I was $\"X-2\"$ .
\n" ); document.write( " $\"M%2BX=6%28X-2%29\"$
\n" ); document.write( " $\"M%2BX=6X-12%7D%7D%0D%0A%7B%7B%7BM=5X-12\"$
\n" ); document.write( "Substituting from eq. 1,
\n" ); document.write( " $\"3X=5X-12\"$
\n" ); document.write( " $\"2X-12=0\"$
\n" ); document.write( " $\"2X=12\"$
\n" ); document.write( " $\"highlight%28X=6%29\"$
\n" ); document.write( "Then from eq. 1,
\n" ); document.write( " $\"M=3%286%29\"$
\n" ); document.write( " $\"highlight%28M=18%29\"$
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