document.write( "Question 792364: Matt is 51 years younger than Sarah. 6 years ago, Sarah's age was 4 times Matt's age. How old is Matt now? \n" ); document.write( "

Algebra.Com's Answer #479937 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+m+\"$ = Matt's age now
\n" ); document.write( "Let $\"+s+\"$ = Sarah's age now
\n" ); document.write( "------------------------
\n" ); document.write( "(1) $\"+m+=+s+-+51+\"$
\n" ); document.write( "(2) $\"+s+-+6+=+4%2A%28+m+-6+%29+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "(1) $\"+s+=+m+%2B+51+\"$
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+m+%2B+51+-+6+=+4%2A%28+m+-+6+%29+\"$
\n" ); document.write( "(2) $\"+m+%2B+45+=+4m+-+24+\"$
\n" ); document.write( "(2) $\"+3m+=+69+\"$
\n" ); document.write( "(2) $\"+m+=+23+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+s+=+m+%2B+51+\"$
\n" ); document.write( "(1) $\"+s+=+23+%2B+51+\"$
\n" ); document.write( "(1) $\"+s+=+74+\"$
\n" ); document.write( "Matt is 23 now
\n" ); document.write( "-------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+s+-+6+=+4%2A%28+m+-6+%29+\"$
\n" ); document.write( "(2) $\"+74+-+6+=+4%2A%28+23+-6+%29+\"$
\n" ); document.write( "(2) $\"+68+=+4%2A17+\"$
\n" ); document.write( "(2) $\"+68+=+68+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "
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