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LCM of two numbers is 495. HCF of these numbers is 5. If the sum of the numbers is 100, find out the difference between the two numbers.
- a)15
- b)12
- c)10
- d)20
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
LCM of two numbers is 495. HCF of these numbers is 5. If the sum of th...
It is given that sum of two numbers is 100. Let the two numbers be x and 100 – x and HCF is 5 and LCM is 495
=> We need to apply the formula: HCF x LCM = Product of two numbers
Which gives x(100 – x) = 495 x 5
Solving the equation we get a quadratic which looks like this:
Therefore, Two numbers are 55 and 45
Therefore, Two numbers are 55 and 45
Most Upvoted Answer
LCM of two numbers is 495. HCF of these numbers is 5. If the sum of th...
Given: LCM = 495, HCF = 5, sum of the numbers = 100
To find: Difference between the two numbers
Solution:
Step 1: Let's assume the two numbers to be x and y
Step 2: We know that LCM * HCF = Product of the numbers i.e., 495 * 5 = x * y
Step 3: Also, we know that x + y = 100
Step 4: Let's find the values of x and y using the above two equations
x * y = 2475 (495 * 5)
x + y = 100
We can solve these equations to get x and y as 45 and 55 respectively.
Step 5: Now, we can find the difference between the two numbers as:
Difference = y - x = 55 - 45 = 10
Therefore, the correct answer is option (c) 10.
Note: We can also solve this question using the formula LCM * HCF = Product of the numbers, and the fact that the sum of the two numbers is equal to the sum of their HCF and LCM. However, the above method is simpler and easier to understand.
To find: Difference between the two numbers
Solution:
Step 1: Let's assume the two numbers to be x and y
Step 2: We know that LCM * HCF = Product of the numbers i.e., 495 * 5 = x * y
Step 3: Also, we know that x + y = 100
Step 4: Let's find the values of x and y using the above two equations
x * y = 2475 (495 * 5)
x + y = 100
We can solve these equations to get x and y as 45 and 55 respectively.
Step 5: Now, we can find the difference between the two numbers as:
Difference = y - x = 55 - 45 = 10
Therefore, the correct answer is option (c) 10.
Note: We can also solve this question using the formula LCM * HCF = Product of the numbers, and the fact that the sum of the two numbers is equal to the sum of their HCF and LCM. However, the above method is simpler and easier to understand.
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LCM of two numbers is 495. HCF of these numbers is 5. If the sum of the numbers is 100, find out the difference between the two numbers.a)15b)12c)10d)20e)None of theseCorrect answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about LCM of two numbers is 495. HCF of these numbers is 5. If the sum of the numbers is 100, find out the difference between the two numbers.a)15b)12c)10d)20e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for LCM of two numbers is 495. HCF of these numbers is 5. If the sum of the numbers is 100, find out the difference between the two numbers.a)15b)12c)10d)20e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
LCM of two numbers is 495. HCF of these numbers is 5. If the sum of the numbers is 100, find out the difference between the two numbers.a)15b)12c)10d)20e)None of theseCorrect answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about LCM of two numbers is 495. HCF of these numbers is 5. If the sum of the numbers is 100, find out the difference between the two numbers.a)15b)12c)10d)20e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for LCM of two numbers is 495. HCF of these numbers is 5. If the sum of the numbers is 100, find out the difference between the two numbers.a)15b)12c)10d)20e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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