Find such a fraction when 5 is subtracted from a denominator, it will be 1/9 and when 5 is added to a numerator, it will be 1/4.
Answer
3/32
Solution
D = Denominator and N = Numerator
N : D - 5 = 1 : 9
D - 5 = N × 9, D = N × 9 + 5
N + 5 : D = 1 : 4
D = (N+5) × 4 = N × 4 + 20
Thus N × 9 + 5 = N × 4 + 20.
N × 5 = 15, N = 3
D = 3 × 9 + 5 = 32
