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When 3 is added to both numerator and denominator a fraction becomes 10/11, and when 4 is subtracted from both it becomes 3/4. What is the fraction?
A3/5
B3/4
C6/13
D7/8
Answer & Solution
Correct answer: D. 7/8
1. (n+3)/(d+3) = 10/11 gives 11n - 10d = -3. (n-4)/(d-4) = 3/4 gives 4n - 3d = 4.
2. Solving: from the second, 3d = 4n - 4. Substituting, 11n - 10(4n-4)/3 = -3 leads to 7n = 49, n = 7.
3. Then d = 8, so the fraction is 7/8.
_Source: RRB Group D CEN-02/2018 PYQ, Q.74._
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