document.write( "Question 850812: Maggie is 4 times as old as her cousin Samuel. In 5 years, she will be 6 years less than 3 times his age. How old is Samuel now? \n" ); document.write( "

Algebra.Com's Answer #512415 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+m+\"$ = Maggie's age now
\n" ); document.write( "Let $\"+s+\"$ = Samuel's age now
\n" ); document.write( "----------------------------
\n" ); document.write( "(1) $\"+m+=+4s+\"$
\n" ); document.write( "(2) $\"+m+%2B+5+=+3%2A%28+s+%2B+5+%29+-+6+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+4s+%2B+5+=+3%2A%28+s+%2B+5+%29+-+6+\"$
\n" ); document.write( "(2) $\"+4s+%2B+5+=+3s+%2B+15+-+6+\"$
\n" ); document.write( "(2) $\"+s+=+15+-+6+-+5+\"$
\n" ); document.write( "(2) $\"+s+=+4+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+m+=+4s+\"$
\n" ); document.write( "(1) $\"+m+=+16+\"$
\n" ); document.write( "Samuel is 4 now
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+m+%2B+5+=+3%2A%28+s+%2B+5+%29+-+6+\"$
\n" ); document.write( "(2) $\"+16+%2B+5+=+3%2A%28+4+%2B+5+%29+-+6+\"$
\n" ); document.write( "(2) $\"+21+=+3%2A9+-+6+\"$
\n" ); document.write( "(2) $\"+21+=+27+-+6+\"$
\n" ); document.write( "(2) $\"+21+=+21+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );