24
To solve this problem, we use the relationship between the Least Common Multiple (LCM), the Highest Common Factor (HCF), and the two numbers. According to the formula:
\(LCM \times HCF = \text{Product of the numbers}\)
We are given:
- LCM = 120
- HCF = 6
- One of the numbers = 30
Let the other number be \(x\).
Hence, using the LCM-HCF formula:
\(120 \times 6 = 30 \times x\)
Now, solve for \(x\):
\(720 = 30x\)
Divide both sides by 30 to isolate \(x\):
\(x = \frac{720}{30}\)
Calculate the value:
\(x = 24\)
Upon reviewing the provided answer, we see that it was incorrectly stated as 33. However, after verifying, the calculation confirms that the other number should be 24, not 33. Thus, the answer should be updated as 24.
The detail of calculation highlights a need to re-confirm the listed answer options and values.
Therefore, based on the calculation:
- Answer: 24
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