If the LCM of two numbers is 192 and their HCF is 8. Between these two 64 is one of the number, then what is the other number?
Question
If the LCM of two numbers is 192 and their HCF is 8. Between these two 64 is one of the number, then what is the other number?
Solution
To find the other number, we can use the relationship between the least common multiple (LCM) and the highest common factor (HCF) of two numbers. This relationship is expressed as:
Product of two numbers = Product of their LCM and HCF
We know that one of the numbers is 64, the LCM is 192, and the HCF is 8. We can substitute these values into the equation:
64 * Other number = 192 * 8
To find the other number, we can rearrange the equation:
Other number = (192 * 8) / 64
Solving this gives:
Other number = 24
So, the other number is 24.
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