Question
The denominator of a rational number is 5 more than its
numerator. If the numerator is increased by 12 and the denominator is decreased by 4, the resulting number is 4/3. Find the rational number.Solution
ATQ, Let the numerator of the rational number be x. Then the denominator will be x+5. The rational number is = [x/(x+5)] According to the question: 
Cross-multiply: 
Expand: 
Simplify: 
Thus, the numerator is 32, and the denominator is: x+5 = 32+5 = 37 Therefore, the rational number is (32/37)
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