CA Foundation Exam > CA Foundation Questions > The ratio of two numbers is 15: 19. If a cert...
Start Learning for Free
The ratio of two numbers is 15: 19. If a certain number is added to each term of the ratio it become 8: 9. What is the number added to each of the ratio?
- a)6
- b)15
- c)17
- d)23
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
The ratio of two numbers is 15: 19. If a certain number is added to ea...
Given:
Ratio of two numbers = 15:19
New ratio after adding a certain number = 8:9
To Find:
The number that was added
Solution:
Let the two numbers be 15x and 19x.
Ratio of two numbers = 15:19
New ratio after adding a certain number = 8:9
To Find:
The number that was added
Solution:
Let the two numbers be 15x and 19x.
According to the question, the ratio of the two numbers is 15:19.
Therefore,
we can write the equation:
15x/19x = 15/19
Cross-multiplying,
we get: 15 × 19x = 19 × 15x 285x = 285x
Thus, we get x = 1.
Therefore, the two numbers are 15 and 19.
Let the number that was added be y.
The new ratio of the numbers is 8:9 after adding y.
Therefore, we can write the equation:
(15 + y)/(19 + y) = 8/9
Cross-multiplying,
we get: 9(15 + y) = 8(19 + y)
Simplifying the above equation,
we get: 135 + 9y = 152 + 8y
y = 17
Answer: The number that was added is 17.
Therefore,
we can write the equation:
15x/19x = 15/19
Cross-multiplying,
we get: 15 × 19x = 19 × 15x 285x = 285x
Thus, we get x = 1.
Therefore, the two numbers are 15 and 19.
Let the number that was added be y.
The new ratio of the numbers is 8:9 after adding y.
Therefore, we can write the equation:
(15 + y)/(19 + y) = 8/9
Cross-multiplying,
we get: 9(15 + y) = 8(19 + y)
Simplifying the above equation,
we get: 135 + 9y = 152 + 8y
y = 17
Answer: The number that was added is 17.
Free Test
FREE
| Start Free Test |
Community Answer
The ratio of two numbers is 15: 19. If a certain number is added to ea...
Given:
The ratio of two numbers is 15:19.
To Find:
The number added to each term of the ratio.
Solution:
Let's assume the two numbers in the ratio are 15x and 19x, where x is a common multiple.
Step 1: Setting up the equation
When a certain number is added to each term of the ratio, it becomes 8:9. Therefore, we can set up the equation as follows:
(15x + n) / (19x + n) = 8/9
Where n is the number added to each term of the ratio.
Step 2: Solving the equation
To solve the equation, we can cross-multiply:
(15x + n) * 9 = (19x + n) * 8
Expanding both sides of the equation:
135x + 9n = 152x + 8n
Subtracting 8n from both sides:
135x + n = 152x
Subtracting 135x from both sides:
n = 17x
Step 3: Finding the value of x
Since n = 17x, we need to find the value of x in order to determine the number added to each term of the ratio.
We know that the two numbers in the ratio are 15x and 19x. Since the ratio is given as 15:19, we can set up another equation:
15x / 19x = 15 / 19
Cross-multiplying:
15x * 19 = 15 * 19x
285x = 285x
This equation is always true, which means x can be any value.
Step 4: Answer
Since x can be any value, the number added to each term of the ratio is 17x. Therefore, the correct answer is option C) 17.
The ratio of two numbers is 15:19.
To Find:
The number added to each term of the ratio.
Solution:
Let's assume the two numbers in the ratio are 15x and 19x, where x is a common multiple.
Step 1: Setting up the equation
When a certain number is added to each term of the ratio, it becomes 8:9. Therefore, we can set up the equation as follows:
(15x + n) / (19x + n) = 8/9
Where n is the number added to each term of the ratio.
Step 2: Solving the equation
To solve the equation, we can cross-multiply:
(15x + n) * 9 = (19x + n) * 8
Expanding both sides of the equation:
135x + 9n = 152x + 8n
Subtracting 8n from both sides:
135x + n = 152x
Subtracting 135x from both sides:
n = 17x
Step 3: Finding the value of x
Since n = 17x, we need to find the value of x in order to determine the number added to each term of the ratio.
We know that the two numbers in the ratio are 15x and 19x. Since the ratio is given as 15:19, we can set up another equation:
15x / 19x = 15 / 19
Cross-multiplying:
15x * 19 = 15 * 19x
285x = 285x
This equation is always true, which means x can be any value.
Step 4: Answer
Since x can be any value, the number added to each term of the ratio is 17x. Therefore, the correct answer is option C) 17.
Attention CA Foundation Students!
To make sure you are not studying endlessly, EduRev has designed CA Foundation study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CA Foundation.
|
Explore Courses for CA Foundation exam
|
|
Similar CA Foundation Doubts
Top Courses for CA FoundationView all
The ratio of two numbers is 15: 19. If a certain number is added to each term of the ratio it become 8: 9. What is the number added to each of the ratio?a)6b)15c)17d)23Correct answer is option 'C'. Can you explain this answer?
Question Description
The ratio of two numbers is 15: 19. If a certain number is added to each term of the ratio it become 8: 9. What is the number added to each of the ratio?a)6b)15c)17d)23Correct answer is option 'C'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The ratio of two numbers is 15: 19. If a certain number is added to each term of the ratio it become 8: 9. What is the number added to each of the ratio?a)6b)15c)17d)23Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of two numbers is 15: 19. If a certain number is added to each term of the ratio it become 8: 9. What is the number added to each of the ratio?a)6b)15c)17d)23Correct answer is option 'C'. Can you explain this answer?.
The ratio of two numbers is 15: 19. If a certain number is added to each term of the ratio it become 8: 9. What is the number added to each of the ratio?a)6b)15c)17d)23Correct answer is option 'C'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The ratio of two numbers is 15: 19. If a certain number is added to each term of the ratio it become 8: 9. What is the number added to each of the ratio?a)6b)15c)17d)23Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of two numbers is 15: 19. If a certain number is added to each term of the ratio it become 8: 9. What is the number added to each of the ratio?a)6b)15c)17d)23Correct answer is option 'C'. Can you explain this answer?.
Solutions for The ratio of two numbers is 15: 19. If a certain number is added to each term of the ratio it become 8: 9. What is the number added to each of the ratio?a)6b)15c)17d)23Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CA Foundation.
Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of The ratio of two numbers is 15: 19. If a certain number is added to each term of the ratio it become 8: 9. What is the number added to each of the ratio?a)6b)15c)17d)23Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The ratio of two numbers is 15: 19. If a certain number is added to each term of the ratio it become 8: 9. What is the number added to each of the ratio?a)6b)15c)17d)23Correct answer is option 'C'. Can you explain this answer?, a detailed solution for The ratio of two numbers is 15: 19. If a certain number is added to each term of the ratio it become 8: 9. What is the number added to each of the ratio?a)6b)15c)17d)23Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of The ratio of two numbers is 15: 19. If a certain number is added to each term of the ratio it become 8: 9. What is the number added to each of the ratio?a)6b)15c)17d)23Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The ratio of two numbers is 15: 19. If a certain number is added to each term of the ratio it become 8: 9. What is the number added to each of the ratio?a)6b)15c)17d)23Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup