The denominator of a rational number is greater than its numerator by 2. If 2 is subtracted from the numerator and 3 is added to its denominator, the new number becomes 1/5. The original number is_.
A 3/15
B 17/3
C 15/23
D 15/4
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hence the no. is 15/23 (i.e option C).
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Answer:
6/13
Step-by-step explanation:
Let the numerator be x. Then,
denominator of the rational number = x + 7
Therefore, the rational number = x/x+7
It is given that if 3 is subtracted from the numerator and 2 is added to its denominator, then new number becomes 1/5.
Therefore, x-3/(x+7)+2 = 1/5
=> x-3/x+9 = 1/5
=> 5x - 15 = x+9
=> 5x-x = 9+15
=> 4x = 24
=> x = 24/4 = 6
Putting x = 6 in (1), we get
Required rational number = 6/6+7 = 6/13
By Meet
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