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HCF of 2 number is 15 and their LCM is 3...

HCF of 2 number is 15 and their LCM is 300. If one of the numbers is 60. Find another.

ख्याओं का म0 स0 15 तथा उनका ल0 स0 300 है। यदि उनमें से एक संख्या 60 हो तो दूसरी होगी:

A

50

B

75

C

65

D

100

Text Solution

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The correct Answer is:
To find the other number when one number is given, we can use the relationship between the HCF (Highest Common Factor), LCM (Lowest Common Multiple), and the two numbers. Given: - HCF (a, b) = 15 - LCM (a, b) = 300 - One number (a) = 60 - We need to find the other number (b). ### Step-by-Step Solution: 1. **Use the relationship between HCF, LCM, and the two numbers**: \[ \text{HCF} \times \text{LCM} = a \times b \] Substituting the known values: \[ 15 \times 300 = 60 \times b \] 2. **Calculate the left side**: \[ 15 \times 300 = 4500 \] So, we have: \[ 4500 = 60 \times b \] 3. **Solve for b**: To find b, divide both sides by 60: \[ b = \frac{4500}{60} \] 4. **Perform the division**: \[ b = 75 \] Thus, the other number is **75**.
To find the other number when one number is given, we can use the relationship between the HCF (Highest Common Factor), LCM (Lowest Common Multiple), and the two numbers. Given: - HCF (a, b) = 15 - LCM (a, b) = 300 - One number (a) = 60 - We need to find the other number (b). ...
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