Q. 21

# The denominator of a fraction is greater than its numerator by 11. If 8 is added to both its numerator and denominator, it becomes Find the fraction.

Let the fraction be x/y.

According to question -

- x + y = 11.....(1)

and,

On Cross multiplying, We get -

4x + 32 = 3y + 24

4x - 3y = - 8.....(2)

From equation (1), we get -

x = y - 11.....(3)

Substituting the value of x in equation (2), we get -

4(y - 11) - 3y = - 8

y = 36

substituting the value of y in equation (3), we get -

x = 25

Thus, the required fraction is 25/36.

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