document.write( "Question 511628: one number is 3 times another number. Find the numbers if the sum of their reciprocal is 1. \n" ); document.write( "

Algebra.Com's Answer #342317 by josmiceli(19441) $\"\"$ $\"About$

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$\"+a+=+3b+\"$
\n" ); document.write( " $\"+1%2Fa+%2B+1%2Fb+=+1+\"$
\n" ); document.write( " $\"+1%2F%283b%29+%2B+1%2Fb+=+1+\"$
\n" ); document.write( "Multiply both sides by $\"+3b+\"$
\n" ); document.write( " $\"+1+%2B+3+=+3b+\"$
\n" ); document.write( " $\"+3b+=+4+\"$
\n" ); document.write( " $\"+b+=+4%2F3+\"$
\n" ); document.write( "and,
\n" ); document.write( " $\"+a+=+3b+\"$
\n" ); document.write( " $\"+a+=+4+\"$
\n" ); document.write( "The numbers are 4/3 and 4
\n" ); document.write( "check:
\n" ); document.write( " $\"+1%2Fa+%2B+1%2Fb+=+1+\"$
\n" ); document.write( " $\"+1%2F4+%2B+1%2F%284%2F3%29+=+1+\"$
\n" ); document.write( " $\"+1%2F4+%2B+3%2F4+=+1+\"$
\n" ); document.write( "OK \n" ); document.write( "

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