The HCF of two numbers is 15 and their LCM is 300. If one of
The HCF of two numbers is 15 and their LCM is 300. If one of the numbers is 60, the other is
A50
B75
C65
D100
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Answer : 75
Explanation:
\(\text{ First number } \times \text{ Second number }= \text{ LCM } \times \text{ HCF}\)
\(\therefore \text{ Second number }= \frac{ \text{ LCM } \times \text{ HCF}}{ \text{ First number } }\)
Given, First Number = 60, HCF =15, LCM = 300
\(\therefore \text{ Second number }= \frac{ \text{ 300 } \times \text{ 15 }}{ \text{60 } }\)
\(\therefore \text{ Second number = 75}\)
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