The GCF of two numbers is 9, and the LCM of these numbers is 54. If one of the numbers is 27, what is the other number? What is the calculation?

Let the other number be x.

Given that the GCF of 27 and x is 9, we can write:
27 = 9 * 3
x = 9 * y, where y is an integer

Given that the LCM of 27 and x is 54, we can write:
54 = 27 * 2 = 9 * 3 * 2 = 9 * 6

Since the LCM is the product of the two numbers divided by their GCF, we have:
27 * x / 9 = 54
27 * 9 * y / 9 = 54
27y = 54
y = 2

Therefore, the other number is x = 9 * 2 = 18.

Calculation:

Let the other number be x.

- GCF (9) = 9
- LCM (54) = 9 - x
- LCM / GCF = x

Substituting the given values:

```
54 / 9 = x
x = 6
```

Therefore, the other number is 6.

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