UPSC Exam > UPSC Questions > To di Gai to pragat sankhyaon ke vargon ka An...
Start Learning for Free
To di Gai to pragat sankhyaon ke vargon ka Antar 324 jabki Di Gai sankhya ko konsa Hui to ine 2 ki Di Gai sankhyaon ka gunakkhand?
Most Upvoted Answer
To di Gai to pragat sankhyaon ke vargon ka Antar 324 jabki Di Gai sank...
Solution:
Given Data:
- Let the two numbers be x and y.
- Difference between their squares: \(y^2 - x^2 = 324\)
Step 1: Express the difference of squares
- We know that \(a^2 - b^2 = (a + b)(a - b)\)
- So, \(y^2 - x^2 = (y + x)(y - x) = 324\)
Step 2: Finding possible combinations
- We need to find two numbers whose product is 324 and their difference is 324.
- The pairs of factors of 324 are: (1, 324), (2, 162), (3, 108), (4, 81), (6, 54), (9, 36), (12, 27)
- The pair that satisfies the given condition is (18, 18)
Step 3: Solving for x and y
- From the above pair, we get:
- \(y + x = 18\) and \(y - x = 18\)
- Solving these equations, we get y = 18 and x = 0
Step 4: Calculating the product of the numbers
- Multiply the two numbers: 18 * 0 = 0
Conclusion:
- The two numbers are 18 and 0.
- The product of these two numbers is 0.
Given Data:
- Let the two numbers be x and y.
- Difference between their squares: \(y^2 - x^2 = 324\)
Step 1: Express the difference of squares
- We know that \(a^2 - b^2 = (a + b)(a - b)\)
- So, \(y^2 - x^2 = (y + x)(y - x) = 324\)
Step 2: Finding possible combinations
- We need to find two numbers whose product is 324 and their difference is 324.
- The pairs of factors of 324 are: (1, 324), (2, 162), (3, 108), (4, 81), (6, 54), (9, 36), (12, 27)
- The pair that satisfies the given condition is (18, 18)
Step 3: Solving for x and y
- From the above pair, we get:
- \(y + x = 18\) and \(y - x = 18\)
- Solving these equations, we get y = 18 and x = 0
Step 4: Calculating the product of the numbers
- Multiply the two numbers: 18 * 0 = 0
Conclusion:
- The two numbers are 18 and 0.
- The product of these two numbers is 0.
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
To di Gai to pragat sankhyaon ke vargon ka Antar 324 jabki Di Gai sankhya ko konsa Hui to ine 2 ki Di Gai sankhyaon ka gunakkhand?
Question Description
To di Gai to pragat sankhyaon ke vargon ka Antar 324 jabki Di Gai sankhya ko konsa Hui to ine 2 ki Di Gai sankhyaon ka gunakkhand? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about To di Gai to pragat sankhyaon ke vargon ka Antar 324 jabki Di Gai sankhya ko konsa Hui to ine 2 ki Di Gai sankhyaon ka gunakkhand? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for To di Gai to pragat sankhyaon ke vargon ka Antar 324 jabki Di Gai sankhya ko konsa Hui to ine 2 ki Di Gai sankhyaon ka gunakkhand?.
To di Gai to pragat sankhyaon ke vargon ka Antar 324 jabki Di Gai sankhya ko konsa Hui to ine 2 ki Di Gai sankhyaon ka gunakkhand? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about To di Gai to pragat sankhyaon ke vargon ka Antar 324 jabki Di Gai sankhya ko konsa Hui to ine 2 ki Di Gai sankhyaon ka gunakkhand? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for To di Gai to pragat sankhyaon ke vargon ka Antar 324 jabki Di Gai sankhya ko konsa Hui to ine 2 ki Di Gai sankhyaon ka gunakkhand?.
Solutions for To di Gai to pragat sankhyaon ke vargon ka Antar 324 jabki Di Gai sankhya ko konsa Hui to ine 2 ki Di Gai sankhyaon ka gunakkhand? 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 To di Gai to pragat sankhyaon ke vargon ka Antar 324 jabki Di Gai sankhya ko konsa Hui to ine 2 ki Di Gai sankhyaon ka gunakkhand? defined & explained in the simplest way possible. Besides giving the explanation of
To di Gai to pragat sankhyaon ke vargon ka Antar 324 jabki Di Gai sankhya ko konsa Hui to ine 2 ki Di Gai sankhyaon ka gunakkhand?, a detailed solution for To di Gai to pragat sankhyaon ke vargon ka Antar 324 jabki Di Gai sankhya ko konsa Hui to ine 2 ki Di Gai sankhyaon ka gunakkhand? has been provided alongside types of To di Gai to pragat sankhyaon ke vargon ka Antar 324 jabki Di Gai sankhya ko konsa Hui to ine 2 ki Di Gai sankhyaon ka gunakkhand? theory, EduRev gives you an
ample number of questions to practice To di Gai to pragat sankhyaon ke vargon ka Antar 324 jabki Di Gai sankhya ko konsa Hui to ine 2 ki Di Gai sankhyaon ka gunakkhand? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC 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
|
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