CA Foundation Exam > CA Foundation Questions > The ages of two persons are in the ratio 5 : ...
Start Learning for Free
The ages of two persons are in the ratio 5 : 7. Eighteen years ago their ages were in the ratio of 8 : 13 their present ages (in years) are:?
Most Upvoted Answer
The ages of two persons are in the ratio 5 : 7. Eighteen years ago the...
The problem provides us with the following information:
- The ratio of the ages of two persons is 5:7.
- Eighteen years ago, their ages were in the ratio of 8:13.
Let's solve the problem step by step:
1. Assign variables:
- Let's assume the present age of the first person is 5x.
- Therefore, the present age of the second person would be 7x.
2. Calculate their ages 18 years ago:
- The age of the first person 18 years ago would be 5x - 18.
- Similarly, the age of the second person 18 years ago would be 7x - 18.
3. Given that 18 years ago, their ages were in the ratio of 8:13, we can form the equation:
(5x - 18) / (7x - 18) = 8 / 13
4. Solve the equation:
- Cross-multiply to eliminate the fractions: 13(5x - 18) = 8(7x - 18)
- Simplify: 65x - 234 = 56x - 144
- Combine like terms: 65x - 56x = 234 - 144
- Solve for x: 9x = 90
- Divide both sides by 9: x = 10
5. Calculate their present ages:
- The present age of the first person is 5x = 5(10) = 50 years.
- The present age of the second person is 7x = 7(10) = 70 years.
Thus, the present ages of the two persons are 50 years and 70 years, respectively.
In summary:
- First person's present age: 50 years
- Second person's present age: 70 years
- The ratio of the ages of two persons is 5:7.
- Eighteen years ago, their ages were in the ratio of 8:13.
Let's solve the problem step by step:
1. Assign variables:
- Let's assume the present age of the first person is 5x.
- Therefore, the present age of the second person would be 7x.
2. Calculate their ages 18 years ago:
- The age of the first person 18 years ago would be 5x - 18.
- Similarly, the age of the second person 18 years ago would be 7x - 18.
3. Given that 18 years ago, their ages were in the ratio of 8:13, we can form the equation:
(5x - 18) / (7x - 18) = 8 / 13
4. Solve the equation:
- Cross-multiply to eliminate the fractions: 13(5x - 18) = 8(7x - 18)
- Simplify: 65x - 234 = 56x - 144
- Combine like terms: 65x - 56x = 234 - 144
- Solve for x: 9x = 90
- Divide both sides by 9: x = 10
5. Calculate their present ages:
- The present age of the first person is 5x = 5(10) = 50 years.
- The present age of the second person is 7x = 7(10) = 70 years.
Thus, the present ages of the two persons are 50 years and 70 years, respectively.
In summary:
- First person's present age: 50 years
- Second person's present age: 70 years
Community Answer
The ages of two persons are in the ratio 5 : 7. Eighteen years ago the...
I think present age = 50:70
am I right
am I right
|
Explore Courses for CA Foundation exam
|
|
Similar CA Foundation Doubts
Top Courses for CA FoundationView all
The ages of two persons are in the ratio 5 : 7. Eighteen years ago their ages were in the ratio of 8 : 13 their present ages (in years) are:?
Question Description
The ages of two persons are in the ratio 5 : 7. Eighteen years ago their ages were in the ratio of 8 : 13 their present ages (in years) are:? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The ages of two persons are in the ratio 5 : 7. Eighteen years ago their ages were in the ratio of 8 : 13 their present ages (in years) are:? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ages of two persons are in the ratio 5 : 7. Eighteen years ago their ages were in the ratio of 8 : 13 their present ages (in years) are:?.
The ages of two persons are in the ratio 5 : 7. Eighteen years ago their ages were in the ratio of 8 : 13 their present ages (in years) are:? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The ages of two persons are in the ratio 5 : 7. Eighteen years ago their ages were in the ratio of 8 : 13 their present ages (in years) are:? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ages of two persons are in the ratio 5 : 7. Eighteen years ago their ages were in the ratio of 8 : 13 their present ages (in years) are:?.
Solutions for The ages of two persons are in the ratio 5 : 7. Eighteen years ago their ages were in the ratio of 8 : 13 their present ages (in years) are:? 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 ages of two persons are in the ratio 5 : 7. Eighteen years ago their ages were in the ratio of 8 : 13 their present ages (in years) are:? defined & explained in the simplest way possible. Besides giving the explanation of
The ages of two persons are in the ratio 5 : 7. Eighteen years ago their ages were in the ratio of 8 : 13 their present ages (in years) are:?, a detailed solution for The ages of two persons are in the ratio 5 : 7. Eighteen years ago their ages were in the ratio of 8 : 13 their present ages (in years) are:? has been provided alongside types of The ages of two persons are in the ratio 5 : 7. Eighteen years ago their ages were in the ratio of 8 : 13 their present ages (in years) are:? theory, EduRev gives you an
ample number of questions to practice The ages of two persons are in the ratio 5 : 7. Eighteen years ago their ages were in the ratio of 8 : 13 their present ages (in years) are:? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup