Question

. The denominator of a rational number is greater than its numerator by 3. If the numerator is

increased by 14 and denominator is decreased by 3, new number becomes 11

4

, find the original number​

Answer 1

Answer:

Step-by-step explanation:

Let the numerator be x

the denominator = x+3

acc to the question,

if numerator is increased by 14= x+ 14,

denominator = (x+3) - 3= x

new number = 11/ 4

therefore,

x+ 14 / x= 11/4

x+ 14= 11x/ 4

4x= 11x - 14

- 11x+4x= -14

- 7x= - 14

7x= 14

x= 14/7

x=7

therefore,

numerator= x = 7

denominator=x + 3 = 7 + 3= 10

therefore, the fraction = 7/10