Question

a fraction becomes 9/11 if 2 is added to both the numerator and the denominator.if 3 is added to both the numerator and the denominator it becomes 5/6. find the fraction.​

Answer 1

Answer

fraction = 7 / 9

Solution

Let numerator be = x

Let denominator be = y

so Fraction is = x / y

Given

If two is added to both numerator and

denominator

x + 2 / y + 2 = 9 / 11

11 ( x + 2 ) = 9 ( y + 2 )

11x + 22 = 9y + 18

11x - 9y + 4 = 0 ...... (1)

Given

If 3 is added both numerator and

denominator

x + 3 / y + 3 = 5 / 6

6 ( x + 3 ) = 5 ( y + 3 )

6x + 18 = 5y + 15

6x - 5y + 3 = 0 ........ ( 2)

EQUATION =

11x - 9y + 4 = 0 ..... (1)

6x - 5y + 3 = 0 ...... (2)

from equation (1) and equation (2) we get

x = 7

put x = 7 in equation (2)

6 ( 7 ) - 5y + 3 = 0

45 - 5y = 0

y = 9

therefore,

Numerator = x = 7

Denominator = y = 9

Hence, fraction is = 7 / 9 = ANSWER

Answer 2

Answer:

I think this is the correct answer

Step-by-step explanation:

hope it helps you