Mechanical Engineering Exam > Mechanical Engineering Questions > If the product of two numbers is 180 and the ...
Start Learning for Free
If the product of two numbers is 180 and the sum of their squares is 369, then what is the sum of the numbers?
- a)32
- b)28
- c)27
- d)More than one of the above
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If the product of two numbers is 180 and the sum of their squares is 3...
Understanding the Problem
We need to find two numbers, let's call them x and y, given the following conditions:
- Product: x * y = 180
- Sum of squares: x² + y² = 369
Using the Relationships
To find the sum of the numbers (x + y), we can use the following identity:
- x² + y² = (x + y)² - 2xy
Substituting the known values:
1. Calculating xy
From the product, we know:
- xy = 180
2. Substituting into the equation
Replacing xy in the sum of squares equation:
- x² + y² = (x + y)² - 2(180)
Hence, we have:
- 369 = (x + y)² - 360
3. Solving for (x + y)²
Rearranging gives us:
- (x + y)² = 369 + 360
- (x + y)² = 729
4. Finding x + y
Taking the square root results in:
- x + y = √729
- x + y = 27
Conclusion
Thus, the sum of the numbers is 27, matching option C.
Final Note
To summarize:
- The product of the numbers is 180.
- The sum of their squares is 369.
- The derived sum of the numbers is therefore 27.
This leads us to conclude that the correct answer is indeed option C.
We need to find two numbers, let's call them x and y, given the following conditions:
- Product: x * y = 180
- Sum of squares: x² + y² = 369
Using the Relationships
To find the sum of the numbers (x + y), we can use the following identity:
- x² + y² = (x + y)² - 2xy
Substituting the known values:
1. Calculating xy
From the product, we know:
- xy = 180
2. Substituting into the equation
Replacing xy in the sum of squares equation:
- x² + y² = (x + y)² - 2(180)
Hence, we have:
- 369 = (x + y)² - 360
3. Solving for (x + y)²
Rearranging gives us:
- (x + y)² = 369 + 360
- (x + y)² = 729
4. Finding x + y
Taking the square root results in:
- x + y = √729
- x + y = 27
Conclusion
Thus, the sum of the numbers is 27, matching option C.
Final Note
To summarize:
- The product of the numbers is 180.
- The sum of their squares is 369.
- The derived sum of the numbers is therefore 27.
This leads us to conclude that the correct answer is indeed option C.
Free Test
FREE
| Start Free Test |
Community Answer
If the product of two numbers is 180 and the sum of their squares is 3...
|
Explore Courses for Mechanical Engineering exam
|
|
Top Courses for Mechanical EngineeringView all
Question Description
If the product of two numbers is 180 and the sum of their squares is 369, then what is the sum of the numbers?a)32b)28c)27d)More than one of the aboveCorrect answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about If the product of two numbers is 180 and the sum of their squares is 369, then what is the sum of the numbers?a)32b)28c)27d)More than one of the aboveCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the product of two numbers is 180 and the sum of their squares is 369, then what is the sum of the numbers?a)32b)28c)27d)More than one of the aboveCorrect answer is option 'C'. Can you explain this answer?.
If the product of two numbers is 180 and the sum of their squares is 369, then what is the sum of the numbers?a)32b)28c)27d)More than one of the aboveCorrect answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about If the product of two numbers is 180 and the sum of their squares is 369, then what is the sum of the numbers?a)32b)28c)27d)More than one of the aboveCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the product of two numbers is 180 and the sum of their squares is 369, then what is the sum of the numbers?a)32b)28c)27d)More than one of the aboveCorrect answer is option 'C'. Can you explain this answer?.
Solutions for If the product of two numbers is 180 and the sum of their squares is 369, then what is the sum of the numbers?a)32b)28c)27d)More than one of the aboveCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of If the product of two numbers is 180 and the sum of their squares is 369, then what is the sum of the numbers?a)32b)28c)27d)More than one of the aboveCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If the product of two numbers is 180 and the sum of their squares is 369, then what is the sum of the numbers?a)32b)28c)27d)More than one of the aboveCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for If the product of two numbers is 180 and the sum of their squares is 369, then what is the sum of the numbers?a)32b)28c)27d)More than one of the aboveCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of If the product of two numbers is 180 and the sum of their squares is 369, then what is the sum of the numbers?a)32b)28c)27d)More than one of the aboveCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If the product of two numbers is 180 and the sum of their squares is 369, then what is the sum of the numbers?a)32b)28c)27d)More than one of the aboveCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
|
|
Explore Courses for Mechanical Engineering 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup