document.write( "Question 397247: if one number is 4 times as large as another number and the smaller number is decreased by 2 , the result is 14 less then the larger number. What is the two numbers. The numbers i got were -6 and -12. is this right \n" ); document.write( "

Algebra.Com's Answer #281579 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
I'll call the numbers $\"J\"$ and $\"K\"$
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"J+=+4K\"$
\n" ); document.write( " $\"J\"$ is the larger number, $\"K\"$ is the smaller
\n" ); document.write( "(2) $\"K+-+2=+J+-+14\"$
\n" ); document.write( "By substitution:
\n" ); document.write( "(2) $\"K+-+2=+4K+-+14\"$
\n" ); document.write( " $\"3K+=+12\"$
\n" ); document.write( " $\"K+=+4\"$
\n" ); document.write( "and, from (1),
\n" ); document.write( " $\"J+=+4%2A4\"$
\n" ); document.write( " $\"J+=+16\"$
\n" ); document.write( "The numbers are 16 and 4 \n" ); document.write( "

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