The denominator of a rational number is greater than its numerator by 4. if 3 subtracted from the numerator and 4 added to the denominator, the new number becomes 2/13. find the original number
pls tell me the ans of this :(
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Answer:
5/9
Step-by-step explanation:
Let the numerator be x.
Denominator = x+4
According to Question,
(x-3) / (x+4+4) = 2/13
=> (x-3) / (x+8) = 2/13
=> 13(x-3) = 2(x+8)
=> 13x-39 = 2x+16
=> 13x-2x = 16+39
=> 11x = 55
=> x = 55/11
=> x = 5
Hence, numerator = 5
Denominator = (5+4) = 9
Therefore, the original fraction is 5/9.
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