BA LLB Banaras Hindu University 2018 Solved Paper

Question : 114 of 170

Marks: +1, -0

The sum of a non-zero number and twenty times its reciprocal is 9 . What is the number?

Solution:

Let the number be

x

.
Then,

x+\;{20}/{x}=9

⇒ \;\; x^{2}-9 x+20=0

⇒ x^{2}-5 x-4 x+20=0

⇒ x(x-5)-4(x-5)=0

⇒ \;\; (x-5)(x-4)=0

⇒ \;\; x=5,4

From the given options,

x=5

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