NIFT UG 2018 Question Paper with solutions

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Question : 11 of 150

Marks: +1, -0

The sum of two number is 8 and their product is

15

. The sum of their reciprocals is

$\;{8}/{15}$
$\;{15}/{8}$
23
7

Solution:

Let the numbers be

x

and

y

.
According to the question,

x+y=8

.....(i)

x y=15

....(ii)
On dividing Eq. (i) by Eq. (ii), we get

\;{x+y}/{x y}=\;{8}/{15}

⇒ \;{x}/{x y}+\;{y}/{x y}=\;{8}/{15}

∴ \;\; \;{1}/{y}+\;{1}/{x}=\;{8}/{15}

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