The denominator of a fraction exceeds its numerator by 3. if one is added to both numerator and denominator, the difference between the new and the original fraction 1/24 find the original fraction.

Asked by  | 1st Dec, 2012, 12:22: AM

Expert Answer:

let Numerator=X
Therefor denominator=X+3
New fraction=(X+1)/(X+4)
According to given condition
taking the LCM and cross multiplying
or, 24*3=X^2+7X+12
or, X^2+7X-60=0
or, X^2+12X-5X-60=0
or, (X-5)(X+12)=0
or, X=5 or -12
X can not be -12
therfor the original fraction is 5/8.

Answered by  | 1st Dec, 2012, 12:35: AM

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