The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator becomes eight times the numerator. Find the fraction.

Options

A. `(3)/(8)`
B. `(3)/(7)`
C. `(4)/(8)`
D. `(2)/(7)`

Answer

B

Explanation

मानाकि भिन्न का हर x है
`therefore` अंश `x-4` होगा है
भिन्न `=(x-4)/(x)`
प्रश्नानुसार,
`(x-4-2)/(x+1)` तो
`(x-6)xx8=x+1`
`implies 8x-x=48+1`
`implies 7x=49implies x=7`
`therefore` भिन्न `=(7-4)/(7)=(3)/(7)`