Both the numerator and denominator of 3/4 are increased by a positive integer, x , and those of 15/17 are decreased by same integer. This operation results in the same value for both the fractions.What is the value of x ?

Previously Asked in : Gate CE-afternoon season 2022 ||

3

4

1

2

Answer (Detailed Solution Below)

Option 3 is correct

Detailed Solution :

From given statement, we can say

\Rightarrow \left(\dfrac {3+x} {4+x} \right) =\left ( \dfrac {15 - x} {17-x} \right)

Put x = 1, 2,3,4 \\ \textrm{Only} \; x = 3 is satisfying

Correct option is: 3

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