Question

if 15 is added to the numertor it becomes 3 but if 11 is added to the denominator it becomes 1/3 find the fraction

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Answer 1

Answer:

so the answer is 6/7

Step-by-step explanation:

let numerator be N and denominator be D so

15+N/D=3 and N/D+11=1/3 so on solving we get fraction 6/7

Answer 2

Answer:

6/7

Step-by-step explanation:

Let x/y be the fraction

Given:-

(x + 15)/y = 3

x + 15 = 3y

x - 3y = -15

Multiplying both sides by 3

3x - 9y = -45------1

x/(y + 11) = 1/3

cross multiplying we get,

3x = y + 11

3x - y = 11-------2

Subtracting eq.1 and eq.2

3x - 9y - (3x - y) = -45 - 11

3x - 9y - 3x + y = -56

= - 8y = -56

y = -56/-8 = 7

Putting y = 7 in eq.2 we get

3x - 7 = 11

3x = 11 + 7 = 18

x = 18/3 = 6

Thus, the fraction is x/y = 6/7

Hope you understood it........All the best