Respuesta :

I would guess that you would need to find the Least Common Multiple (LCM) of 99 and 24 first. 

After listing out all of the multiples, you would have 792 be the LCM of 99 and 24. But since we need to find the integer value of n, in 99n (which means 99 x n), then we need to divide 792 by 99, which would be 8.

n = 8 

The lowest possible value of the integer n where 99n acts as the multiple of 24 would be:

8

Find the Least Common Multiple

The Least Common Multiple is described as the minimum positive integer that can be divided by a particular set of integers.

So that, we will find the LCM of 99 and 24

[tex]=[/tex] [tex]792[/tex]

Now,

If we divided 792 by 99, we get

[tex]n = 8[/tex]

To check,

([tex]99[/tex] × [tex]8[/tex][tex])/24[/tex]

[tex]= 33[/tex]

Hence, it is divisible.

Thus, 8 is the correct answer.

Learn more about "Integer" here:

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