The denominator of a rational number is greater than the numerator by 3. If numerator and denominator are increased by 1 and 4, the number obtained is 1/2. find the rational number?
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Answer:
5/8
Step-by-step explanation:
Let the numerator be x.
Denominator = x + 3
According to Question,
x+1/x+3+4 = 1/2
=> x+1/x+7 = 1/2
=> 2(x+1) = x+7
=> 2x+2 = x+7
=> 2x-x = 7-2
=> x = 5
Hence, numerator = 5
Denominator = 5 + 3 = 8
Therefore, the rational number is 5/8.
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