document.write( "Question 126711: ONE NUMBER IS 12 MORE THAN ANOTHER. THE SUM OF THE SMALLER NUMBER AND TWICE THE LARGER NUMBER IS 39. FIND THE LARGER NYMBER. \n" ); document.write( "

Algebra.Com's Answer #92848 by josmiceli(19441) $\"\"$ $\"About$

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Call the smaller number $\"a\"$
\n" ); document.write( "and the larger number $\"b\"$
\n" ); document.write( " $\"b+=+a+%2B+12\"$
\n" ); document.write( " $\"a+%2B+2b+=+39\"$
\n" ); document.write( "rearrange the 1st equation
\n" ); document.write( " $\"a+-+b+=+-12\"$
\n" ); document.write( "multiply both sides by $\"-1\"$
\n" ); document.write( " $\"-a+%2B+b+=+12\"$
\n" ); document.write( " $\"a+%2B+2b+=+39\"$
\n" ); document.write( "Add these equations
\n" ); document.write( " $\"3b+=+51\"$
\n" ); document.write( " $\"b+=+17\"$
\n" ); document.write( " $\"a+=+39+-+2b\"$
\n" ); document.write( " $\"a+=+39+-+34\"$
\n" ); document.write( " $\"a+=+5\"$
\n" ); document.write( "The larger number is 17
\n" ); document.write( "check answer
\n" ); document.write( " $\"b+=+a+%2B+12\"$
\n" ); document.write( " $\"a+%2B+2b+=+39\"$
\n" ); document.write( "---------------
\n" ); document.write( " $\"17+%2B+5+=+12\"$
\n" ); document.write( " $\"5+%2B+34+=+39\"$
\n" ); document.write( "OK \n" ); document.write( "

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