The LCM of two numbers is 72 and their HCF is 12. If one of the numbers is 24, what is the other one?
Question
The LCM of two numbers is 72 and their HCF is 12.
If one of the numbers is 24, what is the other one?
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 24, the LCM is 72, and the HCF is 12. We can substitute these values into the equation:
24 * Unknown number = 72 * 12
To find the unknown number, we can rearrange the equation to solve for it:
Unknown number = (72 * 12) / 24
Calculating the right side of the equation gives us the value of the unknown number:
Unknown number = 36
So, the other number is 36.
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