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The numerator and denominator of a rational number are in the ratio 3:4. If the denominator is increased by 3, the ratio become 3:5. Find the rational number?
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The numerator and denominator of a rational number are in the ratio 3:...
Introduction:
The problem involves finding a rational number given the ratio between its numerator and denominator and the ratio obtained after increasing the denominator by 3.
Given:
The ratio between the numerator and denominator of the rational number is 3:4.
The ratio between the numerator and the increased denominator is 3:5.
Assumption:
Let the numerator be 3x and denominator be 4x.
Calculation:
According to the given information, we have:
3x/4x = 3/4 -> x = 4
Thus, the numerator is 12 and the denominator is 16.
Now, the ratio between the numerator and the increased denominator is 3:5.
Therefore, we have:
12/19 = 3/5 -> 60 = 57
This is not possible.
Thus, our assumption is wrong.
Let us assume that the numerator is 3y and the denominator is 4y.
According to the given information, we have:
3y/4y = 3/4 -> y = 4
Thus, the numerator is 12 and the denominator is 16.
Now, the ratio between the numerator and the increased denominator is 3:5.
Therefore, we have:
12/19 = 3/5
Cross-multiplying, we get:
60 = 57
This is not possible.
Thus, the given information is inconsistent and there is no rational number that satisfies the given conditions.
Conclusion:
The given information is inconsistent and there is no rational number that satisfies the given conditions.
The problem involves finding a rational number given the ratio between its numerator and denominator and the ratio obtained after increasing the denominator by 3.
Given:
The ratio between the numerator and denominator of the rational number is 3:4.
The ratio between the numerator and the increased denominator is 3:5.
Assumption:
Let the numerator be 3x and denominator be 4x.
Calculation:
According to the given information, we have:
3x/4x = 3/4 -> x = 4
Thus, the numerator is 12 and the denominator is 16.
Now, the ratio between the numerator and the increased denominator is 3:5.
Therefore, we have:
12/19 = 3/5 -> 60 = 57
This is not possible.
Thus, our assumption is wrong.
Let us assume that the numerator is 3y and the denominator is 4y.
According to the given information, we have:
3y/4y = 3/4 -> y = 4
Thus, the numerator is 12 and the denominator is 16.
Now, the ratio between the numerator and the increased denominator is 3:5.
Therefore, we have:
12/19 = 3/5
Cross-multiplying, we get:
60 = 57
This is not possible.
Thus, the given information is inconsistent and there is no rational number that satisfies the given conditions.
Conclusion:
The given information is inconsistent and there is no rational number that satisfies the given conditions.
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The numerator and denominator of a rational number are in the ratio 3:4. If the denominator is increased by 3, the ratio become 3:5. Find the rational number?
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The numerator and denominator of a rational number are in the ratio 3:4. If the denominator is increased by 3, the ratio become 3:5. Find the rational 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 numerator and denominator of a rational number are in the ratio 3:4. If the denominator is increased by 3, the ratio become 3:5. Find the rational number? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The numerator and denominator of a rational number are in the ratio 3:4. If the denominator is increased by 3, the ratio become 3:5. Find the rational number?.
The numerator and denominator of a rational number are in the ratio 3:4. If the denominator is increased by 3, the ratio become 3:5. Find the rational 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 numerator and denominator of a rational number are in the ratio 3:4. If the denominator is increased by 3, the ratio become 3:5. Find the rational number? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The numerator and denominator of a rational number are in the ratio 3:4. If the denominator is increased by 3, the ratio become 3:5. Find the rational number?.
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