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Posted by **Lucille** on Tuesday, November 13, 2007 at 7:38pm.

A.0 B.1 C.2 D.4 E.6

I tried doing n/24=18 and I got 432 and when I divided it by 8 I got 54; am I misinterpreting the question? I really see no other way to do it. Can someone please help me?

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**Reiny**, Tuesday, November 13, 2007 at 8:09pmThe smallest value that n could be is 42 (42÷24 = 1 with a remainder of 18)

Adding 24 each time I got the sequence

42 66 90 114 138 162 ...

Now when you divide each of these by 8 you will have a remainder of 2 for each one

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**Lucille**, Tuesday, November 13, 2007 at 8:22pmsorry, but I still don't get it...

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**Reiny**, Tuesday, November 13, 2007 at 8:45pmok, let's try this

let N = 24x + 18

for whole number values of x isn't

N = 42,66,90,114,138,162,... ?

24x would give you multiples of 24, that is, all numbers that are exactly divible by 24, so by adding 18 we create a remainder of 18

now try dividing each of those by 8

What did you notice about the remainder?

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**Lucille**, Tuesday, November 13, 2007 at 8:54pmI get decimals, well, a whole unti and a decimal

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**Reiny**, Tuesday, November 13, 2007 at 9:40pmthis is one of the problems in using calculators, they give decimal answers.

try dividing 90 by 24 the old grade school method you learned in grade 4.

Does it not go 3 times with 18 left over?

Now do 90 divided by 8,

isn't that 11 times with 2 left over?

WELL ????

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**Lucille**, Tuesday, November 13, 2007 at 9:05pmI still don't think I'm doing this right, am I?

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**Lucille**, Tuesday, November 13, 2007 at 9:22pmI just don't get how I'm supposed to divide 90 by 18 and get a remainder of 2, according to your first reply...

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**Reiny**, Tuesday, November 13, 2007 at 9:35pmAccording to your own question when you divide by 8 you get a remainder of 2, not when you divide by 18

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**Lucille**, Tuesday, November 13, 2007 at 9:36pmI'm sorry, I'm just trying to figure out a way of actually colsing the problem and nothing seems to work

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**bobpursley**, Tuesday, November 13, 2007 at 9:34pmOK, n is divided by 24 and a remainder of 18.

if divided by 3, you will still have a "remainder"of 18, but that remainder is divisible by 3 twice, giving a final remainder of 2

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**Lucille**, Tuesday, November 13, 2007 at 9:35pmso sorry, but I don't get how having a reminder works...

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**DrBob222**, Tuesday, November 13, 2007 at 9:36pmI think the point is this.

42/8 = 5 with remainder of 2.

66/8 = 8 with a remainder of 2.

90/8 = 11 with a remainder of 2.

114/8 = 14 with a remainder of 2.

Now read the last sentence of Reiny's response. What do you notice about the remainder?

- I get it! -
**Lucille**, Tuesday, November 13, 2007 at 9:39pmoh, it makes sense now! thank you all very much! So sorry I had so many people helping me to finally get it, but you are all life savers! :D

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