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3 years ago

What is the largest three-digit number divisible by 24 and 54?

Mathematics

1 answer:

tensa zangetsu [6.8K]3 years ago

4 0

Answer:

The largest three-digit number divisible by 24 and 54 is:

<u>864</u>

Step-by-step explanation:

To identify the largest number what I did was dividing 999 (the largest whole three-digit number of all) in the first number given (24):

$\frac{999}{24}=41.625$

With this number, you know that you must multiply 24 by a number like 41 or less until you find a number that can be divisible by 54 and obtain a whole number, so:

24*41= 984/54= 18.22 (how the number obtained is not a whole number, this is not the correct).

24*40= 960/54= 17.77 (this is not).
24*39= 936/54= 17.33 (this is not).
24*38= 912/54= 16.88 (this is not).
24*37=888/54= 16.44 (this is not).
<u>24*36= 864/54= 16 (This is the correct</u>).

Now, you have identified that the number 864, you can prove it by dividing this in 24 and 54:

$\frac{864}{24}=36$
$\frac{864}{54}= 16$

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so the variance of $X+2$ would be

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so the standard deviation remains unchanged at 3.

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The problem is telling us that the perimeter is 116 and the length is 36. So let’s plug it in and solve for width which equal w
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Step 3: 116= 72+2w
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GenaCL600 [577]

Answer:

x=147

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