What happened to the math?

[Ohio]

1 | 2 | 3 | 4| 5 | 6| 7 |
8 | 9 |10|11|12|13|14|
15|16|17|18|19|20|21|
22|23|24|25|26|27|28|
29|30|31| |


Ok, that is my calander. I am going to pick 4 numbers that make a square (example 1,2,8,9) I am going to give you the sum of the 4 numbers, you tell me what 4 numbers I picked. The sum=64, what 4 numbers did I pick. And remember to show your work.

[w0rd]

12, 13, 19, 20.

Basically the sum of both opposites (eg. 1 + 9 or 2 + 8) always equal the same thing.. soooo half of 64 = 32, meaning you need to find the opposites that both add up to 32.

12 + 20 = 32
13+19 = 32

32 + 32 = 64.

[Ohio]

That still involves guessing w0rd, you can do it with no guessing at all. I'll wait a bit for you or someone else to develop a formula before posting it.

[w0rd]

Oh God, formulas we did this at school, it was kinda the basis for a piece of coursework we did. I cant be bothered tonight, if it isnt posted 2moro I'll show it.

[w0rd]

Actually I'll do it now, I'm bored.

Take the four example numbers again - 1, 2, 8, 9 - and assign them an nth term..

n
n+1
n+7
n+8

This rings true for all possible combinations of numbers in a square shape. Then we'll add the 2 opposites -

n + (n+7) = 2n + 7
(n+1) + (n+8) = 2n + 9

To find a number like 64 it's all the terms added together which equal..

4n + 16


....you know what? I've forgotten what I was doin. Need sleep, will tackle it tomorrow

[Ohio]

You were almost done

[z00ey]

yup.. ..but now i m bored and going to type it out for w0rd ;D

like he wrote, the number we are looking for can be described asbr]n = x + x+1 + x+7 + x+8 = 4x + 16

now we solve it to x (because that s what we are looking for) and getbr]
x = (n-16) / 4

..now we just put in the number you give us and we get the result x (where x always is the first number of our square)

[w0rd]

I know I was Ohio, but my mind had just gone blank well done z00ey beat me to it.

[Alexander]

your all squares, math is for nerds who have big glasses, checked shirts and curly hair! , lol

[kentris]

Alexander said:

your all squares, math is for nerds who have big glasses, checked shirts and curly hair! , lol

not forgetting the zits....hey alex, you have a lot of zits!!

[w0rd]

Alexander said:

your all squares, math is for nerds who have big glasses, checked shirts and curly hair! , lol

I'm ashamed of you - did you never watch Sesame Street?

It's hip to be square..

[Ohio]

Ok, I will show my age. That was by Huey Lewis and the News.

[w0rd]

Yes well... shush i'm only 16