document.write( "Question 136429: One number is 25% of another. The larger number is 12 more than the smaller. Both numbers are positive. What are the numbers? \n" ); document.write( "

Algebra.Com's Answer #99927 by josmiceli(19441) $\"\"$ $\"About$

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Larger number = $\"a\"$
\n" ); document.write( "Smaller number = $\"b\"$
\n" ); document.write( " $\"b+=+.25a\"$
\n" ); document.write( " $\"a+=+b+%2B+12\"$
\n" ); document.write( " $\"a+=+.25a+%2B+12\"$
\n" ); document.write( " $\".75a+=+12\"$
\n" ); document.write( " $\"a+=+12%2F.75\"$
\n" ); document.write( " $\"a+=+16\"$
\n" ); document.write( " $\"b+=+.25a\"$
\n" ); document.write( " $\"b+=+.25%2A16\"$
\n" ); document.write( " $\"b+=+4\"$
\n" ); document.write( "The numbers are 16 and 4
\n" ); document.write( "check:
\n" ); document.write( " $\"b+=+.25a\"$
\n" ); document.write( " $\"4+=+.25%2A16\"$
\n" ); document.write( " $\"4+=+4\"$
\n" ); document.write( " $\"a+=+b+%2B+12\"$
\n" ); document.write( " $\"16+=+4+%2B+12\"$
\n" ); document.write( " $\"16+=+16\"$
\n" ); document.write( "OK \n" ); document.write( "

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