Question

The sum of two number is 8 and 5 times the sum their reciprocals is also 8 . Find the numbers .

Answer 1

Answer:

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

Answer 2

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Let the number be x and x - 8

Then,

⇒15( 1/x + 1/8-x )

⇒15=8(8−x)

⇒x²−8x+15=0

⇒(x−5)(x−3)=0

∴ the numbers are 5 and 3.

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