Question

# 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.

Solution

## Let the fraction be xy According to the question, x−1y=13 ⇒3x−y=3....(i) xy+8=14 ⇒4x−y=8...(ii) 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.Mathematics

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