Question

Please answer this...
The denominator of a rational number is greater than the numerator by 4 if 3 is subtracted from the numerator and 4 is added to the denominator the new number becomes 2/13.Find the original number.

Answer 1

Answer:

The original fraction is 5 / 9

Step-by-step explanation:

Let the numerator of a fraction be ' x '

The denominator will be ' x + 4 '

According to the question ,,,,

$\frac{x - 3}{(x + 4) + 4} = \frac{2}{13} \\ \\ \frac{x - 3}{x + 8} = \frac{2}{13} \\ \\ 13x - 39 = 2x + 16 \\ \\ 11x = 55 \\ \\ x = 5$

$= > \: \: x + 4 = 5 + 4 = 9$

Hence ,,,

The original fraction is 5 / 9 .....

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