UPSC Exam > UPSC Questions > Divide the 50 into two parts such that the su...
Start Learning for Free
Divide the 50 into two parts such that the sum of their recipes 1 by 12 the numbers are?
Most Upvoted Answer
Divide the 50 into two parts such that the sum of their recipes 1 by 1...
Step 1: Define the problem
To divide 50 into two parts such that the sum of their reciprocals is 1/12.
Step 2: Set up the equation
Let the two parts be x and 50-x. According to the problem, the equation can be set up as:
1/x + 1/(50-x) = 1/12
Step 3: Solve the equation
To solve the equation, first find a common denominator:
(50-x + x) / (x*(50-x)) = 1/12
50 / (x*(50-x)) = 1/12
600 = x*(50-x)
Now, solve the quadratic equation:
600 = 50x - x^2
x^2 - 50x + 600 = 0
(x-20)(x-30) = 0
Therefore, the two parts are 20 and 30.
Step 4: Verify the solution
To verify, substitute the values:
1/20 + 1/30 = 1/12
(3+2) / 60 = 1/12
5 / 60 = 1/12
1/12 = 1/12
Hence, the solution is correct.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
Divide the 50 into two parts such that the sum of their recipes 1 by 12 the numbers are?
Question Description
Divide the 50 into two parts such that the sum of their recipes 1 by 12 the numbers are? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Divide the 50 into two parts such that the sum of their recipes 1 by 12 the numbers are? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Divide the 50 into two parts such that the sum of their recipes 1 by 12 the numbers are?.
Divide the 50 into two parts such that the sum of their recipes 1 by 12 the numbers are? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Divide the 50 into two parts such that the sum of their recipes 1 by 12 the numbers are? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Divide the 50 into two parts such that the sum of their recipes 1 by 12 the numbers are?.
Solutions for Divide the 50 into two parts such that the sum of their recipes 1 by 12 the numbers are? 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 Divide the 50 into two parts such that the sum of their recipes 1 by 12 the numbers are? defined & explained in the simplest way possible. Besides giving the explanation of
Divide the 50 into two parts such that the sum of their recipes 1 by 12 the numbers are?, a detailed solution for Divide the 50 into two parts such that the sum of their recipes 1 by 12 the numbers are? has been provided alongside types of Divide the 50 into two parts such that the sum of their recipes 1 by 12 the numbers are? theory, EduRev gives you an
ample number of questions to practice Divide the 50 into two parts such that the sum of their recipes 1 by 12 the numbers are? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup