If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1. It becomes 12 if we only add 1 to the denominator. What is the fraction?
35
Let the fraction be xy
According to the question, x+1y−1=1
⇒ x - y = -2 ... (i)
xy+1=12
⇒ 2x - y = 1 ... (ii)
Subtracting equation (i) from equation (ii), we get
x = 3 ... (iii)
Putting this value in equation (i), we get
3 - y = -2
⇒ -y = -5
⇒ y = 5
Hence, the fraction is 35.