SSC CGL 7 Sep 2016 Paper

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Question : 64 of 100

Marks: +1, -0

If

x/{a+b}

+ 1 =

x/{a-b} + {a-b}/{a+b}

, then x is equal to

2a – b
a + b
a – b
2a + b

Solution:

x/{a+b}

+ 1 =

x/{a-b}+{a-b}/{a+b}

⇒

x/{a-b}+{a-b}/{a+b}

=

x/{a-b}

- 1
⇒

{x-a+b}/{a+b}

=

{x-a+b}/{a-b}

⇒ (x - a + b)

(1/{a+b}-1/{a-b})

= 0
⇒ x - a + b = 0
⇒ x = a - b

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