Request a call back

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 | 18 Jul, 2012, 10:52: PM 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 | 19 Jul, 2012, 12:04: AM

## Concept Videos

CBSE 10 - Maths
maths Asked by krishpatel20108 | 01 Jan, 2023, 07:56: PM ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by choithanimahak | 05 Aug, 2022, 09:06: PM ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by anuragchoudhary812 | 19 Jul, 2022, 07:00: PM ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by patelnaimesh842004 | 17 Jul, 2022, 09:05: PM ANSWERED BY EXPERT
CBSE 10 - Maths
find the value of a and b Asked by patelnaimesh842004 | 17 Jul, 2022, 07:43: PM ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by shreeram091984 | 17 Jul, 2022, 08:17: AM ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by maitrymody2004 | 12 Jun, 2022, 11:52: PM ANSWERED BY EXPERT
CBSE 10 - Maths
worksheet 1 question 1 Asked by bhawnabansal47809 | 01 Jun, 2022, 07:23: PM ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by preetijain4723 | 27 Apr, 2022, 09:48: PM ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by tapasyachitore07 | 31 Mar, 2022, 09:30: AM ANSWERED BY EXPERT