document.write( "Question 459136: Three years ago, Jeffrey was twice as old as Michael is now. In nine years, Jeffery will be four times as old as Michael is now. What are Jeffery's and Michael's current age. \n" ); document.write( "

Algebra.Com's Answer #314883 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"j\"$ = Jeffery's age now
\n" ); document.write( "Let $\"m\"$ = Michael's age now
\n" ); document.write( "Three years ago Jeffery was $\"+j-3+\"$
\n" ); document.write( "In nine years Jeffery will be $\"+j+%2B+9+\"$
\n" ); document.write( "-----------------------------
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+j+-+3+=+2m+\"$
\n" ); document.write( "(2) $\"+j+%2B+9+=+4m+\"$
\n" ); document.write( "---------------
\n" ); document.write( "From (1):
\n" ); document.write( "(1) $\"+j+=+2m+%2B+3+\"$
\n" ); document.write( "Substitute this in (2)
\n" ); document.write( "(2) $\"+2m+%2B+3+%2B+9+=+4m+\"$
\n" ); document.write( "(2) $\"+2m+=+12+\"$
\n" ); document.write( " $\"+m+=+6+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+j+=+2m+%2B+3+\"$
\n" ); document.write( "(2) $\"+j+=+2%2A6+%2B+3+\"$
\n" ); document.write( " $\"+j+=+15+\"$
\n" ); document.write( "Michael is 6 and Jeffery is 15 \n" ); document.write( "

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