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 #342316 by oberobic(2304) $\"\"$ $\"About$

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$\"1%2Fx+%2B+1%2Fy+=+1\"$
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\n" ); document.write( " $\"x+=+3y\"$
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\n" ); document.write( " $\"1%2F%283y%29+%2B+1%2Fy+=+1\"$
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\n" ); document.write( "Multiply through by 3y
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\n" ); document.write( " $\"1+%2B+3+=+3y\"$
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\n" ); document.write( " $\"3y+=+4\"$
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\n" ); document.write( " $\"y+=+4%2F3\"$
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\n" ); document.write( " $\"x+=+3%2A%284%2F3%29+=+3%2A4%2F3+=+4\"$
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\n" ); document.write( "Check the sum of reciprocals.
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\n" ); document.write( " $\"1%2F4+%2B+3%2F4+=+1\"$
\n" ); document.write( "Correct.
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\n" ); document.write( "Answer: One number is 4/3 and the other is 4.
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\n" ); document.write( "Done. \n" ); document.write( "

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