the denomination of a rational number is greater than its numerator by 7. if 3 is subtracted from the namerator and 2is added to its denominator the new number become 1by5 find the rational number
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Let the numerator = x
So, x/x+7 is the original rational number.
Adding 2 to denominator and subtracting 3 from numerator
x - 3/ x + 9 = 1/5
Cross multiplying
5x - 15 = x + 9
4x = 24
x = 24/4
x = 6
Original rational number is
6/13
6/13 is the original rational number
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