Class 8 Exam > Class 8 Questions > The numerator and denominator of a rational n...
Start Learning for Free
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?
Most Upvoted Answer
The numerator and denominator of a rational number are in the ratio 3:...
Community Answer
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.
Attention Class 8 Students!
To make sure you are not studying endlessly, EduRev has designed Class 8 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 8.
|
Explore Courses for Class 8 exam
|
|
Similar Class 8 Doubts
Top Courses for Class 8View all
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?
Question Description
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?.
Solutions 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? in English & in Hindi are available as part of our courses for Class 8.
Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of
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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an
ample number of questions to practice 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? tests, examples and also practice Class 8 tests.
|
|
Explore Courses for Class 8 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup