Q. In a fraction twice the numerator is 2 more than the denominator. If3 is added to the numerator and the denominator ,the new fraction is 2/3 . Find the original fraction.

Asked by abbu786 | 17th Jul, 2017, 09:38: PM

Expert Answer:

begin mathsize 16px style Let space the space numerator space of space the space fraction space be space straight x.
rightwards double arrow Denominator space of space the space fraction equals 2 straight x minus 2
Thus comma space original space fraction equals fraction numerator straight x over denominator 2 straight x minus 2 end fraction
According space to space given space condition comma
fraction numerator straight x plus 3 over denominator 2 straight x minus 2 plus 3 end fraction equals 2 over 3
rightwards double arrow fraction numerator straight x plus 3 over denominator 2 straight x plus 1 end fraction equals 2 over 3
rightwards double arrow 3 straight x plus 9 equals 4 straight x plus 2
rightwards double arrow straight x equals 7 equals Numerator
rightwards double arrow Denominator equals 2 straight x minus 2 equals 2 cross times 7 minus 2 equals 14 minus 2 equals 12
Hence comma space the space original space fraction space is space 7 over 12. space end style

Answered by Rashmi Khot | 18th Jul, 2017, 09:43: AM