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.
Answer :
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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