Homework Help: math

Posted by hena(online) on Tuesday, December 13, 2011 at 7:01pm.

I need help please help me. There's a chart that has to have 16boxes. It has to be 4 by 4. Lable boxes that are vertical top to bottom 1,2,3,4 and boxes that are horizontal left to right A,B,C,D. Box 1A has to be 28,Box 1C has to be 34, box 2C has to be 24, and box 2D has to be 12. Now you must make all sides able to add up to 84, both horizontally and vertically.Please help!!!!!!!!!!!!!!!!!!!!!!!!!!

math - Steve, Wednesday, December 14, 2011 at 12:58pm
I assume you want to use an arithmetic progression to fill in the square.

16/2 (a + a + 15d) = 84
8(2a + 15d) = 336
2a+15d = 42

If d is an integer, then 15d needs to be even, and less than 42. So,
a = 6
d = 2

and the numbers to be used are
6 8 10 ... 34 36

Here are a couple of squares that meet your restrictions:

28 8 34 14
16 32 24 12
10 18 20 36
30 26 6 22
--------------------
28 8 34 14
30 18 24 12
20 26 16 22
6 32 10 36

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