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If the LCM and HCF of two numbers is 1260 and their LCM is 900 more than their HCF,then the product of two numbers is.?
Verified Answer
If the LCM and HCF of two numbers is 1260 and their LCM is 900 more th...
HCF + LCM = 1260
HCF + 900 = LCM
Solving the two,
LCM = 1080
HCF = 180
(HCF)(LCM) = Number1xNumber2
(180)(1080) = Number1xNumber2
The numbers are 180 and 108
This question is part of UPSC exam. View all Class 10 courses
Most Upvoted Answer
If the LCM and HCF of two numbers is 1260 and their LCM is 900 more th...
Question is not correct there should be sum/diff./product between LCM and HCF
Community Answer
If the LCM and HCF of two numbers is 1260 and their LCM is 900 more th...
Given:
LCM of two numbers = 1260
HCF of two numbers = 1260 - 900 = 360 (since LCM = HCF + 900)
To find:
The product of the two numbers
Solution:
Let's assume the two numbers to be x and y.
Finding the LCM and HCF:
We know that LCM(x, y) * HCF(x, y) = x * y
Given that LCM(x, y) = 1260 and HCF(x, y) = 360
1260 * 360 = x * y --------------(1)
Finding the relationship between LCM and HCF:
We are given that LCM(x, y) = HCF(x, y) + 900
Substituting the values,
1260 = 360 + 900
360 = 900
This implies that the given information is not possible. HCF cannot be greater than LCM.
Hence, there is no solution to this problem.
Conclusion:
The product of the two numbers cannot be determined as the given information is not possible.
LCM of two numbers = 1260
HCF of two numbers = 1260 - 900 = 360 (since LCM = HCF + 900)
To find:
The product of the two numbers
Solution:
Let's assume the two numbers to be x and y.
Finding the LCM and HCF:
We know that LCM(x, y) * HCF(x, y) = x * y
Given that LCM(x, y) = 1260 and HCF(x, y) = 360
1260 * 360 = x * y --------------(1)
Finding the relationship between LCM and HCF:
We are given that LCM(x, y) = HCF(x, y) + 900
Substituting the values,
1260 = 360 + 900
360 = 900
This implies that the given information is not possible. HCF cannot be greater than LCM.
Hence, there is no solution to this problem.
Conclusion:
The product of the two numbers cannot be determined as the given information is not possible.
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If the LCM and HCF of two numbers is 1260 and their LCM is 900 more than their HCF,then the product of two numbers is.?
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If the LCM and HCF of two numbers is 1260 and their LCM is 900 more than their HCF,then the product of two numbers is.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If the LCM and HCF of two numbers is 1260 and their LCM is 900 more than their HCF,then the product of two numbers is.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the LCM and HCF of two numbers is 1260 and their LCM is 900 more than their HCF,then the product of two numbers is.?.
If the LCM and HCF of two numbers is 1260 and their LCM is 900 more than their HCF,then the product of two numbers is.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If the LCM and HCF of two numbers is 1260 and their LCM is 900 more than their HCF,then the product of two numbers is.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the LCM and HCF of two numbers is 1260 and their LCM is 900 more than their HCF,then the product of two numbers is.?.
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