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Quadratic Formula

The sum of tw...

Question

The sum of two numbers is 8. Determine the numbers, if their reciprocal is 8/5.

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Solution

Let one number be X. The other number be Y.
Given,

X+Y=8
X=8-Y ---------------(1)

By simplifing, we get
$fraction numerator X plus Y over denominator X Y end fraction equals 8 over 5 F r o m space left parenthesis 1 right parenthesis comma space w e space g e t comma fraction numerator 8 over denominator open parentheses 8 minus Y close parentheses begin display style cross times end style begin display style Y end style end fraction equals 8 over 5 fraction numerator 8 over denominator 8 Y minus Y squared end fraction equals 8 over 5 Y squared minus 8 Y plus 5 equals 0 T H E space S O L U T I O N space I S space N O T space A N space I N T E G E R. S O space I space B E L I E V E space Y O U R space Q U E S T I O N space I S space W R O N G. bold italic I bold italic T bold space bold italic S bold italic H bold italic O bold italic U bold italic L bold italic D bold space bold italic B bold italic E bold space bold " bold italic T bold italic h bold italic e bold space bold italic s bold italic u bold italic m bold space bold italic o bold italic f bold space bold italic t bold italic w bold italic o bold space bold italic n bold italic u bold italic m bold italic b bold italic e bold italic r bold italic s bold space bold italic i bold italic s bold space bold 8 bold. bold space bold italic D bold italic e bold italic t bold italic e bold italic r bold italic m bold italic i bold italic n bold italic e bold space bold italic t bold italic h bold italic e bold space bold italic n bold italic u bold italic m bold italic b bold italic e bold italic r bold italic s bold comma bold space bold italic i bold italic f bold space bold italic t bold italic h bold italic e bold italic i bold italic r bold space bold italic r bold italic e bold italic c bold italic i bold italic p bold italic r bold italic o bold italic c bold italic a bold italic l bold space bold italic i bold italic s bold space bold 8 bold divided by bold 15 bold " H o p e space y o u space u n d e r s tan d factorial$

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Similar questions

Q. The sum of two numbers is 8 determine the numbers if the sum of their reciprocal is 8 by 15

Q. The sum of two numbers is 8. Determine the numbers, if the sum of their reciprocals is

\frac{8}{15}

Q. The sum of two numbers is

8

and the sum of their reciprocal is

\frac{8}{15}

. Find the numbers.

The sum of two numbers is 8 and 15 times the sum of their reciprocals is also 8. Find the numbers.

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