Two numbers are in the ratio 3 : 4. If their HCF is 5, what is their LCM?
Two numbers are in the ratio 3 : 4. If their HCF is 5, what is their LCM?
दो संख्याओं 3 : 4 के अनुपात में हैं। यदि उनका म०स० 5 है, तो उनका ल०स० है।
Detailed Solution & Logic
Correct Answer:
60
Let the numbers be $3x$ and $4x$
Given HCF = 5
Since 3 and 4 are co-prime, HCF = $x$
So, $x = 5$
Numbers are: $15$ and $20$
LCM = $\frac{15 \times 20}{5} = 60$
Final Answer: 60
Correct option: 60
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