The LCM and HCF of two numbers are 40 and - respectively. If one of them is 24. Find the other
LCM = 2^2 * 5
HCF = -
???
24 = 2^3 * 3
The other number must have a factor of 5, but your missing info precludes further deductions. I will say that 40 is not a multiple of 24 ...
To find the other number, we can use the relationship between the LCM, HCF, and the two numbers.
The relationship between the two numbers (call them a and b) and the LCM and HCF is as follows:
LCM(a, b) * HCF(a, b) = a * b
Given that the LCM is 40, the HCF is -, and one of the numbers is 24, we can plug in these values and solve for the other number.
LCM(a, b) = 40
HCF(a, b) = -
a = 24
Using the formula mentioned above, we can rearrange it to solve for the other number (b):
LCM(a, b) = (a * b) / HCF(a, b)
Plugging in the given values:
40 = (24 * b) / HCF(24, b)
Let's determine the HCF of 24 and b:
The HCF is the highest common factor of two numbers. In this case, one of the numbers is 24. So the HCF would be the largest divisor of 24 that divides the other number b.
Since the HCF is not given, let's determine it by finding the factors of 24:
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
Now, we need to find the largest divisor of 24 that divides b. From the given information, it seems that one of the numbers is negative, but we do not know which one. So it is unclear whether the larger number should be positive or negative.
Therefore, there are multiple possibilities for the other number b, depending on whether it is positive or negative and which factor we choose as the HCF. If we assume the HCF is positive, then b could be any of the factors of 24. If we assume the HCF is negative, then b would be the negative of any of the factors of 24.
For example, if we assume the HCF is positive and choose 8 as the HCF, then the other number b would be 40 / 8 = 5. If we assume the HCF is negative and choose -8 as the HCF, then the other number b would be -40 / -8 = 5. However, since the HCF is not given, we cannot determine the exact value of b without additional information.
In summary, the other number (b) could be any of the factors of 24 or their negatives, depending on whether the HCF is assumed to be positive or negative.