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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?
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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.
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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?.
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