document.write( "Question 657990: The mother is 6 years more than three times older than her son. Four years ago, she was 5 times older as her son. How old is her son. \n" ); document.write( "

Algebra.Com's Answer #410108 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+m+\"$ = Mother's age no
\n" ); document.write( "Let $\"+s+\"$ = Son's age now
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+m+=+3s+%2B+6+\"$
\n" ); document.write( "(2) $\"+m+-+4+=+5%2A%28+s+-+4+%29+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+3s+%2B+6+-+4+=+5%2A%28+s+-+4+%29+\"$
\n" ); document.write( "(2) $\"+3s+%2B+2+=+5s+-+20+\"$
\n" ); document.write( "(2) $\"+2s+=+20+%2B+2+\"$
\n" ); document.write( "(2) $\"+2s+=+22+\"$
\n" ); document.write( "(2) $\"+s+=+11+\"$
\n" ); document.write( "Son is 11
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+m+=+3%2A11+%2B+6+\"$
\n" ); document.write( "(1) $\"+m+=+39+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+39+-+4+=+5%2A%28+s+-+4+%29+\"$
\n" ); document.write( "(2) $\"+35+=+5s+-+20+\"$
\n" ); document.write( "(2) $\"+5s+=+55+\"$
\n" ); document.write( "(2) $\"+s+=+11+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

\n" );