Question

the denominator of a fraction exceeds the numerator by 1.if 2 be taken from each,the sum of the reciprocal of the new fraction and 4 times the original fraction is 5 find the original fraction

Answer 1

5
- ×1 =20 is the correct answer (or) 1
4

Answer 2

x/x+1
now 2 is taken form each
so x-2/x-1
now
x-1/x-2 +4x/x+1 =5
x²-1 +4x²-8x=5(x-2)(x+1)
5x²-8x-1=5x²-5x-10
3x=9
x=3
so fraction is
3/4