Integer Questions

Test Preparation SAT Preparation
1

<p>Ok so I took the October 2006 SAT and I got stumped by a math question. This is not the first time this type of question has gotten the best of me either so I would like your help.</p>

<p>A four digit integer, WXYZ, in which W, X, Y, and Z each represent a different digit, is formed according to the following rules.</p>

<li>X=W+Y+Z</li>
<li>W=Y+1</li>
<li>Z=W-5</li>
</ol>

<p>What is the four digit integer?</p>

<p>It took me forever to figure this out because I saw the only way to solve it was to guess and check. Is there a better way?</p>

2

<p>The only integers possible are 0-9, since these are single digits.
Z=W-5 tells you that W must equal at least 5.
Try 5.
Z=5-5=0
5=Y=1
Y=4
X=5+4+0=0</p>

<p>WXYZ
5940</p>

3

<p>is it 0?
First off, look at Z; see how its W-5? which means that W has to be more than or equal to 5. So lets just say W is 5.</p>

<p>If w is 5,
X is 9
Y is 4
and Z is 0</p>

<p>edit: damn, shiomi you beat me to it.</p>

4

<p>i remember i almost freaked out on this few wks ago~~ lol
its actually quite simple. X has to be something like 7,8 or 9</p>

<p>W X Y Z</p>

<p>diff of Y and W is 1
5<em>4</em>
so Z in this case could be 0 ,cuz 5-5=0
5940~??</p>

5

<p>Hells yeah anhtimmy! You people keep beating me to the punch, but I saw this and rushed. LOL</p>

<p>Also the algebraic method is:
Make X equal to one variable instead of X = W + Y + Z - The easiest to do this with is W
Z = W - 5
Subtract 1 from each side of Y to get Y = W - 1
Plug those into X = W + Y + Z to get X = W + (W-1)+(W-5) = 3W-6
X = 3W-6
So you know that W must equal at least 5 right? Then plug 5 into X to get 9, anything higher than W=5 will be too big a digit, since 9 is the largest you can go.</p>

6

<p>Lol............</p>

7

<p>Lol! Before I pressed edit to add the rant, I didn't see Ren's answer. How did he get it up there >:O</p>

8

<p>W>4 since Z = W-5 [and W is the largest among W, Y, Z]</p>

<p>X = W+(W-1)+W-5 = 3W-6
Since 3W-6<10, then 3W<16, so W = 5</p>

<p>X = 9
Y = 4
Z=0</p>

<p>WXYZ = 5940</p>

<p>I HATE YOU GUYS</p>

9

<p>Hahahahahhah. Me too. I lost.</p>

10

<p>
[quote]
I HATE YOU GUYS

[/quote]

All you need is love, all you need is love,
All you need is love, love, love is all you need.
Love, love, love, love, love, love, love, love, love.</p>

11

<p>Three Days Grace</p>

<p>I hate everything all about you
Why do I love you
I hate everything all about you
Why do I love you</p>

12

<p>Any way you want it(Journey)</p>

<p>Any way you want it
That's the way you need it
Any way you want it</p>

<p>She loves to laugh
She loves to sing
She does everything
She loves to move
She loves to groove
She loves the lovin things</p>

13

<p>Black eyed peas
~where is the love?~~</p>

<p>LOL</p>

14

<p>Haha thanks guys</p>

15

<p>fiona_, you love me? aww :P</p>

16

<p>em khong yeu anh</p>

<p>go ask your daddy/mummy if you dont understand plz</p>

17

<p>damn that's cold.
như vậy</p>

18

<p>NI MEN SHI WO DE HAO PENG YAO!!
Wo yao chi ni de shi.
Fiona made the mistake of not learning the greatest language in singapore.</p>

19

<p>Is that mando?</p>

20

<p>Yessir that is Mando Rando In</p>