Class 8 Exam > Class 8 Questions > The ages of Mohan and Sohan are in the ratio ...
Start Learning for Free
The ages of Mohan and Sohan are in the ratio 9 : 7. Ten years ago their ages were in the ratio 7 : 5. What is the difference between their present ages?
- a)5 years
- b)10 years
- c)15 years
- d)20 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 ages of Mohan and Sohan are in the ratio 9 : 7. Ten years ago thei...
Let Mohan’s age = 9x
and Sohan’s age = 7x
10, years ago,
Mohan’s age = 9x – 10
Sohan’s age = 7x – 10
⇒ 45x – 50 = 49x – 70
⇒ 4x = 20 ⇒ x = 5
∴ Mohan’s age = 9 × 5 = 45
and Sohan’s age = 7 × 5 = 35
Hence difference = 45 – 35 = 10 years
and Sohan’s age = 7x
10, years ago,
Mohan’s age = 9x – 10
Sohan’s age = 7x – 10
⇒ 45x – 50 = 49x – 70
⇒ 4x = 20 ⇒ x = 5
∴ Mohan’s age = 9 × 5 = 45
and Sohan’s age = 7 × 5 = 35
Hence difference = 45 – 35 = 10 years
Most Upvoted Answer
The ages of Mohan and Sohan are in the ratio 9 : 7. Ten years ago thei...
Let the required ages be X.q
Ratio is 9:7
so,9x and 7x.
Mohan's age is 9x and Sohan's age is 7x.
10 years ago,
Mohan's age is 9x-10 and Sohan's age is 7x-10.
A.T.P.
9x- 10 + 7x- 10 = 7x- 5x
= 9x+7x-7x-5x = 10+10
= 4x = 20
= x = 20÷4
= x = 5
Mohan's age = 9x = 9×5 = 45
Sohan's age = 7x = 7×5 = 35.
Hence,
The difference between Mohan's and sohan's age is = 45 - 35 = 10.
Ratio is 9:7
so,9x and 7x.
Mohan's age is 9x and Sohan's age is 7x.
10 years ago,
Mohan's age is 9x-10 and Sohan's age is 7x-10.
A.T.P.
9x- 10 + 7x- 10 = 7x- 5x
= 9x+7x-7x-5x = 10+10
= 4x = 20
= x = 20÷4
= x = 5
Mohan's age = 9x = 9×5 = 45
Sohan's age = 7x = 7×5 = 35.
Hence,
The difference between Mohan's and sohan's age is = 45 - 35 = 10.
Free Test
FREE
| Start Free Test |
Community Answer
The ages of Mohan and Sohan are in the ratio 9 : 7. Ten years ago thei...
Given:
The ages of Mohan and Sohan are in the ratio 9:7.
Ten years ago, their ages were in the ratio 7:5.
To find:
The difference between their present ages.
Solution:
Let's assume the present ages of Mohan and Sohan as 9x and 7x respectively.
Step 1: Ten years ago
Ten years ago, Mohan's age = 9x - 10
Ten years ago, Sohan's age = 7x - 10
According to the given ratio, we have:
(9x - 10)/(7x - 10) = 7/5
Step 2: Cross-multiplication
Cross-multiplying the equation, we get:
5(9x - 10) = 7(7x - 10)
Simplifying the equation, we get:
45x - 50 = 49x - 70
Step 3: Solving the equation
Bringing the x terms to one side and the constant terms to the other side, we get:
49x - 45x = 70 - 50
4x = 20
x = 5
Step 4: Finding their present ages
Mohan's present age = 9x = 9 * 5 = 45 years
Sohan's present age = 7x = 7 * 5 = 35 years
Step 5: Finding the difference
Difference between their present ages = 45 - 35 = 10 years
Therefore, the difference between their present ages is 10 years. Option B is the correct answer.
The ages of Mohan and Sohan are in the ratio 9:7.
Ten years ago, their ages were in the ratio 7:5.
To find:
The difference between their present ages.
Solution:
Let's assume the present ages of Mohan and Sohan as 9x and 7x respectively.
Step 1: Ten years ago
Ten years ago, Mohan's age = 9x - 10
Ten years ago, Sohan's age = 7x - 10
According to the given ratio, we have:
(9x - 10)/(7x - 10) = 7/5
Step 2: Cross-multiplication
Cross-multiplying the equation, we get:
5(9x - 10) = 7(7x - 10)
Simplifying the equation, we get:
45x - 50 = 49x - 70
Step 3: Solving the equation
Bringing the x terms to one side and the constant terms to the other side, we get:
49x - 45x = 70 - 50
4x = 20
x = 5
Step 4: Finding their present ages
Mohan's present age = 9x = 9 * 5 = 45 years
Sohan's present age = 7x = 7 * 5 = 35 years
Step 5: Finding the difference
Difference between their present ages = 45 - 35 = 10 years
Therefore, the difference between their present ages is 10 years. Option B is the correct answer.
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 ages of Mohan and Sohan are in the ratio 9 : 7. Ten years ago their ages were in the ratio 7 : 5. What is the difference between their present ages?a)5 yearsb)10 yearsc)15 yearsd)20 yearsCorrect answer is option 'B'. Can you explain this answer?
Question Description
The ages of Mohan and Sohan are in the ratio 9 : 7. Ten years ago their ages were in the ratio 7 : 5. What is the difference between their present ages?a)5 yearsb)10 yearsc)15 yearsd)20 yearsCorrect answer is option 'B'. Can you explain this answer? 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 ages of Mohan and Sohan are in the ratio 9 : 7. Ten years ago their ages were in the ratio 7 : 5. What is the difference between their present ages?a)5 yearsb)10 yearsc)15 yearsd)20 yearsCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ages of Mohan and Sohan are in the ratio 9 : 7. Ten years ago their ages were in the ratio 7 : 5. What is the difference between their present ages?a)5 yearsb)10 yearsc)15 yearsd)20 yearsCorrect answer is option 'B'. Can you explain this answer?.
The ages of Mohan and Sohan are in the ratio 9 : 7. Ten years ago their ages were in the ratio 7 : 5. What is the difference between their present ages?a)5 yearsb)10 yearsc)15 yearsd)20 yearsCorrect answer is option 'B'. Can you explain this answer? 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 ages of Mohan and Sohan are in the ratio 9 : 7. Ten years ago their ages were in the ratio 7 : 5. What is the difference between their present ages?a)5 yearsb)10 yearsc)15 yearsd)20 yearsCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ages of Mohan and Sohan are in the ratio 9 : 7. Ten years ago their ages were in the ratio 7 : 5. What is the difference between their present ages?a)5 yearsb)10 yearsc)15 yearsd)20 yearsCorrect answer is option 'B'. Can you explain this answer?.
Solutions for The ages of Mohan and Sohan are in the ratio 9 : 7. Ten years ago their ages were in the ratio 7 : 5. What is the difference between their present ages?a)5 yearsb)10 yearsc)15 yearsd)20 yearsCorrect answer is option 'B'. Can you explain this answer? 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 ages of Mohan and Sohan are in the ratio 9 : 7. Ten years ago their ages were in the ratio 7 : 5. What is the difference between their present ages?a)5 yearsb)10 yearsc)15 yearsd)20 yearsCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The ages of Mohan and Sohan are in the ratio 9 : 7. Ten years ago their ages were in the ratio 7 : 5. What is the difference between their present ages?a)5 yearsb)10 yearsc)15 yearsd)20 yearsCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for The ages of Mohan and Sohan are in the ratio 9 : 7. Ten years ago their ages were in the ratio 7 : 5. What is the difference between their present ages?a)5 yearsb)10 yearsc)15 yearsd)20 yearsCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of The ages of Mohan and Sohan are in the ratio 9 : 7. Ten years ago their ages were in the ratio 7 : 5. What is the difference between their present ages?a)5 yearsb)10 yearsc)15 yearsd)20 yearsCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The ages of Mohan and Sohan are in the ratio 9 : 7. Ten years ago their ages were in the ratio 7 : 5. What is the difference between their present ages?a)5 yearsb)10 yearsc)15 yearsd)20 yearsCorrect answer is option 'B'. Can you explain this answer? 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
|
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