document.write( "Question 107366: One number is 4 times another. If the sum of their reciprocals
\n" ); document.write( "is 5/12 find the two numbers. \n" ); document.write( "

Algebra.Com's Answer #78186 by josmiceli(19441) $\"\"$ $\"About$

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Call the numbers a and b
\n" ); document.write( " $\"a+=+4b\"$
\n" ); document.write( " $\"1%2Fa+%2B+1%2Fb+=+5%2F12\"$
\n" ); document.write( "multiply both sides by $\"ab\"$
\n" ); document.write( " $\"b+%2B+a+=+%285%2F12%29%2Aab\"$
\n" ); document.write( " $\"b+%2B+4b+=+%285%2F12%29%2A4b%2Ab\"$
\n" ); document.write( " $\"5b+=+%285%2F12%29%2A4b%5E2\"$
\n" ); document.write( " $\"5+=+%285%2F12%29%2A4b\"$
\n" ); document.write( " $\"4b+=+%2812%2F5%29%2A5\"$
\n" ); document.write( " $\"4b+=+12\"$
\n" ); document.write( " $\"b+=+3\"$ answer
\n" ); document.write( " $\"a+=+4b\"$
\n" ); document.write( " $\"a+=+12\"$ answer
\n" ); document.write( "check
\n" ); document.write( " $\"1%2Fa+%2B+1%2Fb+=+5%2F12\"$
\n" ); document.write( " $\"1%2F12+%2B+1%2F3+=+5%2F12\"$
\n" ); document.write( " $\"1%2F12+%2B+4%2F12+=+5%2F12\"$
\n" ); document.write( " $\"5%2F12+=+5%2F12\"$ OK \n" ); document.write( "

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