Question

the denominator of a fraction is greater than its numerator by 11. If 8 is added to both its numerator and denominator , it becomes 3/4. find the fraction.​

Answer 1

Answer:

25/36

Step-by-step explanation:

Let x and y be the numerator and denominator of a fraction x/y

Given:

y = x + 11

y – x = 11---------------1

Also given:

x + 8 / y + 8 = 3/4

4 (x + 8) = 3 (y + 8)

4x + 32 = 3y + 24

3y – 4x = 8 ----------2

Multiply equation 1 by 3

3y – 3x = 33 ------------3

Subtract eqn 2 from eqn 3

x = 25

Therefore, y = x + 11 = 25 + 11 = 36

Therefore, fraction is = 25/36

Answer 2

Answer:

25/36

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