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LCM and HCF of two number are 48 and 4 respectively. it one of the number is 2 more than y (where y is 100) then find the other number
a) 12 b) 17 c) 16 d) 10?
a) 12 b) 17 c) 16 d) 10?
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LCM and HCF of two number are 48 and 4 respectively. it one of the num...
Understanding LCM and HCF
The Least Common Multiple (LCM) and Highest Common Factor (HCF) of two numbers have a special relationship:
- LCM × HCF = Product of the two numbers.
Given:
- LCM = 48
- HCF = 4
Calculating the Product of the Numbers
Using the relationship:
- Product of the numbers = LCM × HCF = 48 × 4 = 192.
Finding the First Number
One of the numbers is described as 2 more than y, where y = 100. Hence:
- First Number = y + 2 = 100 + 2 = 102.
Finding the Other Number
Let the other number be x. According to our earlier calculation:
- 102 × x = 192.
Now, we can solve for x:
- x = 192 / 102.
Calculating x
To simplify:
- x ≈ 1.882. However, we need to consider integer values that fit the conditions of LCM and HCF.
Finding Valid Candidates
Since the HCF is 4, both numbers must be multiples of 4. The potential candidates from the options provided are:
- a) 12
- b) 17 (not a multiple of 4)
- c) 16
- d) 10 (not a multiple of 4)
Testing the Valid Candidates
- If x = 12:
- LCM(102, 12) = 204. Not valid.
- If x = 16:
- LCM(102, 16) = 48. Valid as LCM.
- If x = 10:
- LCM(102, 10) = 1020. Not valid.
Conclusion
The only valid answer is:
- c) 16.
This satisfies both the conditions of LCM and HCF provided in the context of the problem.
The Least Common Multiple (LCM) and Highest Common Factor (HCF) of two numbers have a special relationship:
- LCM × HCF = Product of the two numbers.
Given:
- LCM = 48
- HCF = 4
Calculating the Product of the Numbers
Using the relationship:
- Product of the numbers = LCM × HCF = 48 × 4 = 192.
Finding the First Number
One of the numbers is described as 2 more than y, where y = 100. Hence:
- First Number = y + 2 = 100 + 2 = 102.
Finding the Other Number
Let the other number be x. According to our earlier calculation:
- 102 × x = 192.
Now, we can solve for x:
- x = 192 / 102.
Calculating x
To simplify:
- x ≈ 1.882. However, we need to consider integer values that fit the conditions of LCM and HCF.
Finding Valid Candidates
Since the HCF is 4, both numbers must be multiples of 4. The potential candidates from the options provided are:
- a) 12
- b) 17 (not a multiple of 4)
- c) 16
- d) 10 (not a multiple of 4)
Testing the Valid Candidates
- If x = 12:
- LCM(102, 12) = 204. Not valid.
- If x = 16:
- LCM(102, 16) = 48. Valid as LCM.
- If x = 10:
- LCM(102, 10) = 1020. Not valid.
Conclusion
The only valid answer is:
- c) 16.
This satisfies both the conditions of LCM and HCF provided in the context of the problem.
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LCM and HCF of two number are 48 and 4 respectively. it one of the number is 2 more than y (where y is 100) then find the other numbera) 12 b) 17 c) 16 d) 10?
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LCM and HCF of two number are 48 and 4 respectively. it one of the number is 2 more than y (where y is 100) then find the other numbera) 12 b) 17 c) 16 d) 10? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about LCM and HCF of two number are 48 and 4 respectively. it one of the number is 2 more than y (where y is 100) then find the other numbera) 12 b) 17 c) 16 d) 10? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for LCM and HCF of two number are 48 and 4 respectively. it one of the number is 2 more than y (where y is 100) then find the other numbera) 12 b) 17 c) 16 d) 10?.
LCM and HCF of two number are 48 and 4 respectively. it one of the number is 2 more than y (where y is 100) then find the other numbera) 12 b) 17 c) 16 d) 10? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about LCM and HCF of two number are 48 and 4 respectively. it one of the number is 2 more than y (where y is 100) then find the other numbera) 12 b) 17 c) 16 d) 10? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for LCM and HCF of two number are 48 and 4 respectively. it one of the number is 2 more than y (where y is 100) then find the other numbera) 12 b) 17 c) 16 d) 10?.
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