Question:A fraction becomes `2/3` when 1 is added to both, its numerator and denominator. And, it become `1/2` when 1 is subtracted from both the numerator and denominator.
Answer Let the required fraction be `x/y` then, `(x + 1)/(y + 1)`=`2/3` => 3x - 2y = -1 ...........(i) And, `(x -1)/(y - 1)`= `1/2` => 2x -y = 1 ...........(ii) Solving (i) & (ii), we get x = 3, y = 5. `:.`Required fraction =`3/5`
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A fraction becomes `2/3` when 1 is added to both, its numerator and denominator. And, it become `1/2` when 1 is subtracted from both the numerator and denominator.