Q. 104.8( 5 Votes )

The difference of two numbers is 5 and the difference of their reciprocals is Find the numbers.

Answer :

Let the first number be ‘X’, so the other number will be ’(X+5)’.




On simplifying further,


X2 + 5X – 50 = 0


On applying Sreedhracharya formula







X = –10 or X = 5.


Then other numbers will be (X+5) = {–10+5} & {5+5} i.e., –5 or 10.


The numbers are –10 & –5 or 5 & 10.


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