Class 7 Exam  >  Class 7 Questions  >  The ages of sonal and manoj are in ratio 7:5.... Start Learning for Free
The ages of sonal and manoj are in ratio 7:5.Ten years hence,the ratio of their ages will 9:7.Find their present ages
Verified Answer
The ages of sonal and manoj are in ratio 7:5.Ten years hence,the ratio...
Given, the ratio of the present ages of Sonal and Manoj = 7 : 5

Let the age of Sonal be `7x` yrs

And the age of Manoj be `5x` yrs

Ten years later their ages will be   (7x + 10) and   (5x + 10)

Given the ratio of the ages after 10 years = 9:7

Assume the ages as 9x and 7x

∴7x + 10 + 5x + 10 = 9x + 7x 

⇒12x - 16x = -20

⇒-4x = -20

⇒x = -20/-4

∴x = 5

Therefore the present age of Sonal = 7x = 7 * 5 = 35 years

And the present age of Manoj = 5x = 5 * 5 = 25 years
This question is part of UPSC exam. View all Class 7 courses
Most Upvoted Answer
The ages of sonal and manoj are in ratio 7:5.Ten years hence,the ratio...
Given information:
The ages of Sonal and Manoj are in the ratio 7:5.

Let's assume:
Let's assume the present age of Sonal is 7x and the present age of Manoj is 5x.

Ten years hence:
After ten years, Sonal's age will be 7x + 10 and Manoj's age will be 5x + 10.

Given ratio after ten years:
The given ratio after ten years is 9:7. Therefore, we can write the equation:
(7x + 10) / (5x + 10) = 9 / 7

Solving the equation:
To solve the equation, we can cross-multiply:
7(7x + 10) = 9(5x + 10)
49x + 70 = 45x + 90

Bringing like terms together:
Simplifying the equation, we have:
49x - 45x = 90 - 70
4x = 20

Dividing by 4:
Dividing both sides of the equation by 4, we get:
x = 5

Calculating present ages:
Now that we know the value of x, we can calculate the present ages of Sonal and Manoj:
Present age of Sonal = 7x = 7 * 5 = 35 years
Present age of Manoj = 5x = 5 * 5 = 25 years

Conclusion:
The present age of Sonal is 35 years and the present age of Manoj is 25 years.
Attention Class 7 Students!
To make sure you are not studying endlessly, EduRev has designed Class 7 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 7.
Explore Courses for Class 7 exam

Top Courses for Class 7

The ages of sonal and manoj are in ratio 7:5.Ten years hence,the ratio of their ages will 9:7.Find their present ages
Question Description
The ages of sonal and manoj are in ratio 7:5.Ten years hence,the ratio of their ages will 9:7.Find their present ages for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about The ages of sonal and manoj are in ratio 7:5.Ten years hence,the ratio of their ages will 9:7.Find their present ages covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ages of sonal and manoj are in ratio 7:5.Ten years hence,the ratio of their ages will 9:7.Find their present ages.
Solutions for The ages of sonal and manoj are in ratio 7:5.Ten years hence,the ratio of their ages will 9:7.Find their present ages in English & in Hindi are available as part of our courses for Class 7. Download more important topics, notes, lectures and mock test series for Class 7 Exam by signing up for free.
Here you can find the meaning of The ages of sonal and manoj are in ratio 7:5.Ten years hence,the ratio of their ages will 9:7.Find their present ages defined & explained in the simplest way possible. Besides giving the explanation of The ages of sonal and manoj are in ratio 7:5.Ten years hence,the ratio of their ages will 9:7.Find their present ages, a detailed solution for The ages of sonal and manoj are in ratio 7:5.Ten years hence,the ratio of their ages will 9:7.Find their present ages has been provided alongside types of The ages of sonal and manoj are in ratio 7:5.Ten years hence,the ratio of their ages will 9:7.Find their present ages theory, EduRev gives you an ample number of questions to practice The ages of sonal and manoj are in ratio 7:5.Ten years hence,the ratio of their ages will 9:7.Find their present ages tests, examples and also practice Class 7 tests.
Explore Courses for Class 7 exam

Top Courses for Class 7

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev