SSC Exam > SSC Questions > The ratio of ages of A and B is 11 : 13 respe...
Start Learning for Free
The ratio of ages of A and B is 11 : 13 respectively. After 7 years the ratio of their ages will be 20 : 23. What is the difference between their ages?
- a)5 years
- b)6 years
- c)3 years
- d)10 years
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The ratio of ages of A and B is 11 : 13 respectively. After 7 years th...
Let the ages of A and B be 11x and 13x respectively. Then,
According to the question, after 7 years the ratio of their ages will be 20 : 23.
⇒ (11x + 7)/(13x + 7) = 20/23
⇒ 260x + 140 = 253x + 161
⇒ 260x – 253x = 161 – 140
⇒ 7x = 21
⇒ x = 3
∴ The difference between their ages = 13x – 11x = 2x = 2 × 3 = 6 years
Hence, the required difference between the ages of A and B is 6 years.
According to the question, after 7 years the ratio of their ages will be 20 : 23.
⇒ (11x + 7)/(13x + 7) = 20/23
⇒ 260x + 140 = 253x + 161
⇒ 260x – 253x = 161 – 140
⇒ 7x = 21
⇒ x = 3
∴ The difference between their ages = 13x – 11x = 2x = 2 × 3 = 6 years
Hence, the required difference between the ages of A and B is 6 years.
Most Upvoted Answer
The ratio of ages of A and B is 11 : 13 respectively. After 7 years th...
Given information:
Ratio of ages of A and B = 11 : 13
After 7 years, ratio of their ages = 20 : 23
Solution:
Let the present age of A and B be 11x and 13x respectively.
After 7 years, their ages will be (11x+7) and (13x+7) respectively.
The ratio of their ages after 7 years is given as 20 : 23.
Therefore, (11x+7)/(13x+7) = 20/23
Cross-multiplying, we get
20(13x+7) = 23(11x+7)
260x + 140 = 253x + 161
7x = 21
x = 3
Hence, the present age of A is 11x = 33 years and the present age of B is 13x = 39 years.
The difference in their ages is 39 - 33 = 6 years.
Therefore, option B is the correct answer.
Ratio of ages of A and B = 11 : 13
After 7 years, ratio of their ages = 20 : 23
Solution:
Let the present age of A and B be 11x and 13x respectively.
After 7 years, their ages will be (11x+7) and (13x+7) respectively.
The ratio of their ages after 7 years is given as 20 : 23.
Therefore, (11x+7)/(13x+7) = 20/23
Cross-multiplying, we get
20(13x+7) = 23(11x+7)
260x + 140 = 253x + 161
7x = 21
x = 3
Hence, the present age of A is 11x = 33 years and the present age of B is 13x = 39 years.
The difference in their ages is 39 - 33 = 6 years.
Therefore, option B is the correct answer.
|
Explore Courses for SSC exam
|
|
Similar SSC Doubts
The ratio of ages of A and B is 11 : 13 respectively. After 7 years the ratio of their ages will be 20 : 23. What is the difference between their ages?a)5 yearsb)6 yearsc)3 yearsd)10 yearsCorrect answer is option 'B'. Can you explain this answer?
Question Description
The ratio of ages of A and B is 11 : 13 respectively. After 7 years the ratio of their ages will be 20 : 23. What is the difference between their ages?a)5 yearsb)6 yearsc)3 yearsd)10 yearsCorrect answer is option 'B'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about The ratio of ages of A and B is 11 : 13 respectively. After 7 years the ratio of their ages will be 20 : 23. What is the difference between their ages?a)5 yearsb)6 yearsc)3 yearsd)10 yearsCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of ages of A and B is 11 : 13 respectively. After 7 years the ratio of their ages will be 20 : 23. What is the difference between their ages?a)5 yearsb)6 yearsc)3 yearsd)10 yearsCorrect answer is option 'B'. Can you explain this answer?.
The ratio of ages of A and B is 11 : 13 respectively. After 7 years the ratio of their ages will be 20 : 23. What is the difference between their ages?a)5 yearsb)6 yearsc)3 yearsd)10 yearsCorrect answer is option 'B'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about The ratio of ages of A and B is 11 : 13 respectively. After 7 years the ratio of their ages will be 20 : 23. What is the difference between their ages?a)5 yearsb)6 yearsc)3 yearsd)10 yearsCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of ages of A and B is 11 : 13 respectively. After 7 years the ratio of their ages will be 20 : 23. What is the difference between their ages?a)5 yearsb)6 yearsc)3 yearsd)10 yearsCorrect answer is option 'B'. Can you explain this answer?.
Solutions for The ratio of ages of A and B is 11 : 13 respectively. After 7 years the ratio of their ages will be 20 : 23. What is the difference between their ages?a)5 yearsb)6 yearsc)3 yearsd)10 yearsCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC.
Download more important topics, notes, lectures and mock test series for SSC Exam by signing up for free.
Here you can find the meaning of The ratio of ages of A and B is 11 : 13 respectively. After 7 years the ratio of their ages will be 20 : 23. What is the difference between their ages?a)5 yearsb)6 yearsc)3 yearsd)10 yearsCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The ratio of ages of A and B is 11 : 13 respectively. After 7 years the ratio of their ages will be 20 : 23. What is the difference between their ages?a)5 yearsb)6 yearsc)3 yearsd)10 yearsCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for The ratio of ages of A and B is 11 : 13 respectively. After 7 years the ratio of their ages will be 20 : 23. What is the difference between their ages?a)5 yearsb)6 yearsc)3 yearsd)10 yearsCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of The ratio of ages of A and B is 11 : 13 respectively. After 7 years the ratio of their ages will be 20 : 23. What is the difference between their ages?a)5 yearsb)6 yearsc)3 yearsd)10 yearsCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The ratio of ages of A and B is 11 : 13 respectively. After 7 years the ratio of their ages will be 20 : 23. What is the difference between their ages?a)5 yearsb)6 yearsc)3 yearsd)10 yearsCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice SSC tests.
|
|
Explore Courses for SSC exam
|
|
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