Question

the denominator of a rational number is greater than is numerator by 5 . if the numerator is increase by 11 and the denominator is decrease by 14 the new number becomes 5 . find the original rational number​

Answer 1

Answer:

14/19

Step-by-step explanation:

Let the numerator be ' x '

Therefore, denominator = ' x+5 '

New numerator = x+11

New denominator = x+5-14 = x-9

According to question

x+11/x-9 = 5

x+11 = 5(x-9)

x+11 = 5x - 45

x- 5x = -45 - 11

- 4x = -56

x = -56/-4 = 14

Numerator = 14

Denominator = 14+5 = 19

Number formed = 14/19