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HCF of two numbers is 6 and their LCM is 432. If one of the number is 48, the other number is
  • a)
    27
  • b)
    54
  • c)
    42
  • d)
    21
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
HCF of two numbers is 6 and their LCM is 432. If one of the number is ...
Product of numbers = LCM x HCF
Let the other number be y
6 x 432 = 48 x y
y = 54
Hence, the other number is 54.
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Most Upvoted Answer
HCF of two numbers is 6 and their LCM is 432. If one of the number is ...
**Given:**
- HCF of two numbers is 6
- LCM of two numbers is 432
- One number is 48

**To find:**
The other number

**Solution:**

We know that the product of two numbers is equal to the product of their HCF and LCM. Therefore, we can use this information to find the other number.

Let the other number be x.

We are given:
HCF = 6
LCM = 432
One number = 48

**Product of two numbers = HCF x LCM**
48 x x = 6 x 432

**Dividing both sides of the equation by 48:**
x = (6 x 432) / 48

Simplifying the expression:
x = 6 x 9

**Therefore, the other number is:**
x = 54

Hence, the correct answer is option B) 54.
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Community Answer
HCF of two numbers is 6 and their LCM is 432. If one of the number is ...
54
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HCF of two numbers is 6 and their LCM is 432. If one of the number is 48, the other number isa)27b)54c)42d)21Correct answer is option 'B'. Can you explain this answer?
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