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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,
x1y=13
3xy=3....(i)
xy+8=14
4xy=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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