Please wait...
1800-212-7858 (Toll Free)
9:00am - 8:00pm IST all days

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this toll free number

022-62211530

Mon to Sat - 11 AM to 8 PM

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

Asked by 18th July 2012, 10:52 PM
Answered by Expert
Answer:
Answer : Given :the denominator of a fraction is greater than its numerator by 11. if 8 is added to both its numerator & denominator, it becomes 3/4.
To find : the fraction.
 
Let x be the numerator and y be the denominator.
Hence the fraction is x/y.
 
Now accc to question, 
the denominator of a fraction is greater than its numerator by 11. 
=> y = x + 11........................................(1)
 
if 8 is added to both its numerator & denominator, it becomes 3/4.
=> ( (x+8) / ( y+8) ) = 3/4
=> 4x - 3y = -8 .....................................(2)
 
Now substituting y from eq (1) to eq (2) , we get 
we get x = 25 
 
y= x+ 11
=> y = 25+11 = 36
Therefore the fraction is = x/y = 25 /36 
 
Answer : The required fraction is 25 / 36.
Answered by Expert 19th July 2012, 12:04 AM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Your answer has been posted successfully!