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GiveN:-
- The denominator of a rational number is greater than the numerator by 7.
- If the numerator is increased by 17 and denominator is decreased by 6, the new number becomes 2.
To FinD:-
The original number.
SolutioN:-
Let the original number be x/y.
Let the numerator be x and denominator be (x + 7).
Now if the numerator is increased by 17 and denominator is decreased by 6, the new number becomes 2.
- Numerator = x + 17
- Denominator = (x + 7) - 6
So,
According to the question,
By cross multiplying,
The number is:-
- Numerator = 15
- Denominator = x + 7 = 15 + 7 = 22
Therefore,
The original number is 15/22.
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