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The sum of two number is …

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The sum of two number is 40,we need to find the number,if the sum of there reciprocal is 2by5
  • 1 answers

Yogita Ingle 6 years, 8 months ago

If first number is x, then second number is 40 - x
As per given condition
{tex}\begin{array}{l}\;\frac1x+\;\frac1{40\;-\;x}\;=\;\frac25\\\frac{40-x\;+\;x}{x(40\;-\;x)}=\;\frac25\\\frac{40}{40x-\;x^2}=\;\frac25\end{array}{/tex}
2(40x - x2) = 40 (5)
80x - 2x2 = 200
2x2 - 80x+ 200 = 0
x2 - 40x + 100 = 0

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