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If the LCM and HCF of two numbers are 72 and 12 respectively. Find the second number if one number is 36 ?
- a)24
- b)48
- c)12
- d)60
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If the LCM and HCF of two numbers are 72 and 12 respectively. Find the...
Let x be the second number,
LCM*HCF = Product of two numbers
72*12 = 36*x
x = 24
So the answer is option A.
Most Upvoted Answer
If the LCM and HCF of two numbers are 72 and 12 respectively. Find the...
To find the second number, we need to understand the relationship between the LCM (Least Common Multiple) and HCF (Highest Common Factor) of two numbers.
Let's assume the two numbers as a and b, with a = 36 (given).
The LCM of two numbers is the smallest multiple that is divisible by both numbers. In this case, the LCM is 72.
The HCF of two numbers is the largest factor that divides both numbers. In this case, the HCF is 12.
To find the second number, we can use the relationship between the LCM and HCF:
LCM(a, b) * HCF(a, b) = a * b
Substituting the given values:
72 * 12 = 36 * b
Simplifying the equation:
864 = 36b
Dividing both sides by 36:
24 = b
Therefore, the second number is 24 (option A).
In summary:
- The LCM of two numbers is the smallest multiple that is divisible by both numbers.
- The HCF of two numbers is the largest factor that divides both numbers.
- The relationship between the LCM and HCF of two numbers is given by LCM(a, b) * HCF(a, b) = a * b.
- By substituting the given values, we can solve for the second number.
- In this case, the second number is 24.
Let's assume the two numbers as a and b, with a = 36 (given).
The LCM of two numbers is the smallest multiple that is divisible by both numbers. In this case, the LCM is 72.
The HCF of two numbers is the largest factor that divides both numbers. In this case, the HCF is 12.
To find the second number, we can use the relationship between the LCM and HCF:
LCM(a, b) * HCF(a, b) = a * b
Substituting the given values:
72 * 12 = 36 * b
Simplifying the equation:
864 = 36b
Dividing both sides by 36:
24 = b
Therefore, the second number is 24 (option A).
In summary:
- The LCM of two numbers is the smallest multiple that is divisible by both numbers.
- The HCF of two numbers is the largest factor that divides both numbers.
- The relationship between the LCM and HCF of two numbers is given by LCM(a, b) * HCF(a, b) = a * b.
- By substituting the given values, we can solve for the second number.
- In this case, the second number is 24.
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If the LCM and HCF of two numbers are 72 and 12 respectively. Find the second number if one number is 36 ?a)24b)48c)12d)60Correct answer is option 'A'. Can you explain this answer?
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