Question 4 (ii)
Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method:
A fraction becomes 13 when 1 is subtracted from the numerator and it becomes 1/4 when 8 is added to its denominator. Find the fraction.
Let the fraction be xy
According to the question,
Subtracting equation (i) from equation (ii), we get
x = 5 ... (iii)
Putting this value in equation (i), we get
15 - y = 3
⇒ y = 12
Hence, the fraction is 512.