document.write( "Question 1024936: 5. Mary is 5 years older than Jane. Four times Jane's age increased by 3 years equals three times Mary's age less 2 years. Find Mary's age \n" ); document.write( "

Algebra.Com's Answer #640296 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+m+\"$ = Mary's age
\n" ); document.write( "Let $\"+j+\"$ = Jane's age
\n" ); document.write( "--------------------
\n" ); document.write( "(1) $\"+m++=+j+%2B+5+\"$
\n" ); document.write( "(2) $\"+4j+%2B+3+=+3m+-+2+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "(2) $\"+3m+-+4j+=+5+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+m+-+j+=+5+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "Multiply both sides of (1) by $\"+3+\"$
\n" ); document.write( "and subtract (2) from (1)
\n" ); document.write( "(1) $\"+3m+-+3j+=+15+\"$
\n" ); document.write( "(2) $\"+-3m+%2B+4j+=+-5+\"$
\n" ); document.write( "-------------------
\n" ); document.write( " $\"+j+=+10+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+m++=+j+%2B+5+\"$
\n" ); document.write( "(1) $\"+m++=+10+%2B+5+\"$
\n" ); document.write( "(1) $\"+m+=+15+\"$
\n" ); document.write( "Mary is 15
\n" ); document.write( "------------------
\n" ); document.write( "check:
\n" ); document.write( "Four times Jane's age increased by 3 years is
\n" ); document.write( " $\"+4%2A10+%2B+3+=+43+\"$
\n" ); document.write( "equals three times Mary's age less 2 years
\n" ); document.write( " $\"+3%2A15+-+2+=+43+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );