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Question

The denominator of a rational number is greater than its numerator by 3.If the numerator is increased by 8 and the denominator is decreased by 1, then new number becomes 53.The original number is:



Your Answer
A

Correct Answer
B

Your Answer
C

Your Answer
D


Solution

The correct option is B


Let the numerator of rational number = x

Denominator of a rational number = x + 3

When numerator is increased by 8, then new numerator = x + 8

When denominator is decreased by 1, then new denominator = x + 3 - 1 = x + 2

New number = 53

x+8x+253
3x + 24 = 5x + 10
2x = 14
  x = 7

So, the original number will be 710

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