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The HCF of two numbers is 6 and their LCM is 144. If one of the numbers is 36, the other is
- a)26
- b)24
- c)22
- d)28
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The HCF of two numbers is 6 and their LCM is 144. If one of the number...
Let the other number be x
Product of two numbers = HCF × LCM
x × 36 = 6 × 144
Hence, the other number is x = 24
Most Upvoted Answer
The HCF of two numbers is 6 and their LCM is 144. If one of the number...
To find the other number, we can use the formula:
Product of two numbers = LCM * HCF
Given that the HCF is 6 and the LCM is 144, we can substitute these values into the formula:
Product of two numbers = 144 * 6
Simplifying this equation gives us:
Product of two numbers = 864
Since one of the numbers is 36, we can divide the product by 36 to find the other number:
Other number = 864 / 36
Simplifying this equation gives us:
Other number = 24
Therefore, the other number is 24, which matches option B.
Product of two numbers = LCM * HCF
Given that the HCF is 6 and the LCM is 144, we can substitute these values into the formula:
Product of two numbers = 144 * 6
Simplifying this equation gives us:
Product of two numbers = 864
Since one of the numbers is 36, we can divide the product by 36 to find the other number:
Other number = 864 / 36
Simplifying this equation gives us:
Other number = 24
Therefore, the other number is 24, which matches option B.
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The HCF of two numbers is 6 and their LCM is 144. If one of the numbers is 36, the other isa)26b)24c)22d)28Correct answer is option 'B'. Can you explain this answer?
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