UPSC Exam  >  UPSC Questions  >  A number is divided into two parts such that ... Start Learning for Free
A number is divided into two parts such that one part is 10 more than the other. if the two parts are in the ratio 5:4, find the number and the two parts?
Most Upvoted Answer
A number is divided into two parts such that one part is 10 more than ...


Problem Statement:

A number is divided into two parts such that one part is 10 more than the other. If the two parts are in the ratio 5:4, find the number and the two parts.

Solution:

Let the number be x.

Step 1: Set up Equations

According to the problem, the two parts are in the ratio 5:4. Therefore, let one part be 5y and the other part be 4y.

Given that one part is 10 more than the other, we can set up the equation:

5y = 4y + 10

Step 2: Solve the Equation

Solving the equation, we get:

y = 10

Step 3: Find the Number and the Two Parts

Now, substitute the value of y back into the parts:

One part = 5y = 5 * 10 = 50

The other part = 4y = 4 * 10 = 40

Therefore, the number is the sum of the two parts: 50 + 40 = 90

Conclusion:

The number is 90, and the two parts are 50 and 40.

Explore Courses for UPSC exam

Top Courses for UPSC

A number is divided into two parts such that one part is 10 more than the other. if the two parts are in the ratio 5:4, find the number and the two parts?
Question Description
A number is divided into two parts such that one part is 10 more than the other. if the two parts are in the ratio 5:4, find the number and the two parts? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A number is divided into two parts such that one part is 10 more than the other. if the two parts are in the ratio 5:4, find the number and the two parts? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number is divided into two parts such that one part is 10 more than the other. if the two parts are in the ratio 5:4, find the number and the two parts?.
Solutions for A number is divided into two parts such that one part is 10 more than the other. if the two parts are in the ratio 5:4, find the number and the two parts? in English & in Hindi are available as part of our courses for UPSC. Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of A number is divided into two parts such that one part is 10 more than the other. if the two parts are in the ratio 5:4, find the number and the two parts? defined & explained in the simplest way possible. Besides giving the explanation of A number is divided into two parts such that one part is 10 more than the other. if the two parts are in the ratio 5:4, find the number and the two parts?, a detailed solution for A number is divided into two parts such that one part is 10 more than the other. if the two parts are in the ratio 5:4, find the number and the two parts? has been provided alongside types of A number is divided into two parts such that one part is 10 more than the other. if the two parts are in the ratio 5:4, find the number and the two parts? theory, EduRev gives you an ample number of questions to practice A number is divided into two parts such that one part is 10 more than the other. if the two parts are in the ratio 5:4, find the number and the two parts? tests, examples and also practice UPSC tests.
Explore Courses for UPSC exam

Top Courses for UPSC

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