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The denominator of a rational number is greater than its numerator by 3. If 3 is subtracted from numerator 2 is added to its denominator the new no. becomes
5
1
, Find original number.?
5
1
, Find original number.?
Most Upvoted Answer
The denominator of a rational number is greater than its numerator by ...
Given Information:
- The denominator of a rational number is greater than its numerator by 3.
- If 3 is subtracted from the numerator and 2 is added to its denominator, the new number becomes 51.
Let's Assume:
Let the original rational number be represented as x/y, where x is the numerator and y is the denominator.
Formulating Equations:
- According to the first condition, y = x + 3.
- When 3 is subtracted from the numerator and 2 is added to the denominator, the new number becomes 51: (x-3)/(y+2) = 51.
Solving the Equations:
- Substituting y = x + 3 into the second equation: (x-3)/(x+3+2) = 51.
- Simplifying the equation: (x-3)/(x+5) = 51.
- Cross multiplying: x - 3 = 51(x + 5).
- Expanding and solving for x: x - 3 = 51x + 255.
- Rearranging and solving for x: x - 51x = 255 + 3, -50x = 258, x = -258/50, x = -129/25.
Calculating the Original Number:
- Since x = -129/25, the original rational number is -129/25.
- The denominator of a rational number is greater than its numerator by 3.
- If 3 is subtracted from the numerator and 2 is added to its denominator, the new number becomes 51.
Let's Assume:
Let the original rational number be represented as x/y, where x is the numerator and y is the denominator.
Formulating Equations:
- According to the first condition, y = x + 3.
- When 3 is subtracted from the numerator and 2 is added to the denominator, the new number becomes 51: (x-3)/(y+2) = 51.
Solving the Equations:
- Substituting y = x + 3 into the second equation: (x-3)/(x+3+2) = 51.
- Simplifying the equation: (x-3)/(x+5) = 51.
- Cross multiplying: x - 3 = 51(x + 5).
- Expanding and solving for x: x - 3 = 51x + 255.
- Rearranging and solving for x: x - 51x = 255 + 3, -50x = 258, x = -258/50, x = -129/25.
Calculating the Original Number:
- Since x = -129/25, the original rational number is -129/25.
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The denominator of a rational number is greater than its numerator by 3. If 3 is subtracted from numerator 2 is added to its denominator the new no. becomes 51 , Find original number.?
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The denominator of a rational number is greater than its numerator by 3. If 3 is subtracted from numerator 2 is added to its denominator the new no. becomes 51 , Find original number.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The denominator of a rational number is greater than its numerator by 3. If 3 is subtracted from numerator 2 is added to its denominator the new no. becomes 51 , Find original number.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The denominator of a rational number is greater than its numerator by 3. If 3 is subtracted from numerator 2 is added to its denominator the new no. becomes 51 , Find original number.?.
The denominator of a rational number is greater than its numerator by 3. If 3 is subtracted from numerator 2 is added to its denominator the new no. becomes 51 , Find original number.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The denominator of a rational number is greater than its numerator by 3. If 3 is subtracted from numerator 2 is added to its denominator the new no. becomes 51 , Find original number.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The denominator of a rational number is greater than its numerator by 3. If 3 is subtracted from numerator 2 is added to its denominator the new no. becomes 51 , Find original number.?.
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