Question

the denominator of a rational number is greater than its numerator by 3.If numerator is increased by 14 and denominator is decreased by 3,the new number became 11/4. What is original numbers

Answer 1

8/11

Explanation:

Let the numerator = x

Denominator =x + 3

Number :
`(x)/(x+3)`

`(x+14)/(x+3-3)=(11)/(4)\\\\\\(x+14)/(x)=(11)/(4)`

Cross multiply,

4*(x +14) = 11*x

4x + 4*14 = 11x

4x + 56 = 11x

Subtract 4x from both sides

56 = 11x - 4x

56 = 7x

7x = 56

Divide both sides by 7

x = 56/7

x = 8

`(8)/(11)`