Question

The denominator of a rational number is greater than its numerator by 4. If numerator is increased by 11 and the denominator is decreased by 1 , the new number becomes 7/3. Find the original number.

Answer 1

Answer:

3/7

Step-by-step explanation:

Let x be the numerator.

Given, original number is x/x+4

and x+11/x+3=7/3

(since numerator is increased by 11 and the denominator is decreased by 1 )

Thus,

=> 3(x+11)=7(x+3)

=> 3x+33=7x+21

=> 4x=12

=> x=3

Therefore original number x/x+4 =3/3+4 =3/7

Answer 2

Step-by-step explanation:

ATO(According to the Question)

let the numerator be x

Denominator be 4x

New Numerator :(x+11)

New Denominator : ( x+3)

New rational number will be

(x+11) /(x+4-1) =7/3

3(x+11) =7(x+3)

3x+33=7x+21

4x=12

x=3

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