Q. 55.0( 2 Votes )

The sum of two numbers is 18 and the sum of their reciprocals is . Find the numbers.

Answer :

Let the first number be ‘X’, so the other number will be ’(18–X)’.

On simplifying further,

–X2 + 18X – 72 = 0

X2 – 18X + 72 = 0

On applying Sreedhracharya formula

X = 6 or X = 12

The numbers are 6 & 12.

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