document.write( "Question 1060534: Two numbers; the first number is 5 times the second number. If the sum of their reciprocal is 6/35, what are the two numbers? \n" ); document.write( "

Algebra.Com's Answer #675471 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = the larger number
\n" ); document.write( "Let $\"+b+\"$ = the smaller number
\n" ); document.write( "--------------------------------
\n" ); document.write( "(1) $\"+a+=+5b+\"$
\n" ); document.write( "(2) $\"+1%2Fa+%2B+1%2Fb+=+6%2F35+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+1%2F%285b%29+%2B+1%2Fb+=+6%2F35+\"$
\n" ); document.write( "Multiply both sides by $\"+5b+\"$
\n" ); document.write( "(2) $\"+1+%2B+5+=+30b%2F35+\"$
\n" ); document.write( "(2) $\"+6%2A35+=+30b+\"$
\n" ); document.write( "(2) $\"+30b+=+210+\"$
\n" ); document.write( "(2) $\"+b+=+7+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+=+5b+\"$
\n" ); document.write( "(1) $\"+a+=+5%2A7+\"$
\n" ); document.write( "(1) $\"+a+=+35+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "The 1st number is 35
\n" ); document.write( "The 2nd number is 7
\n" ); document.write( "---------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+1%2Fa+%2B+1%2Fb+=+6%2F35+\"$
\n" ); document.write( "(2) $\"+1%2F35+%2B+1%2F7+=+6%2F35+\"$
\n" ); document.write( "(2) $\"+1%2F35+%2B+5%2F35+=+6%2F35+\"$
\n" ); document.write( "(2) $\"+6%2F35+=+6%2F35+\"$
\n" ); document.write( "OK \n" ); document.write( "

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