magic square 9

Two 8x8 magic squares are given below.

1	22	58	45	11	32	52	39
43	64	20	7	33	54	26	13
16	27	55	36	6	17	61	42
38	49	29	10	48	59	23	4
18	5	41	62	28	15	35	56
60	47	3	24	50	37	9	30
31	12	40	51	21	2	46	57
53	34	14	25	63	44	8	19

1	16	52	61	22	27	39	42
58	55	11	6	45	36	32	17
31	18	46	35	12	5	57	56
40	41	21	28	51	62	2	15
43	38	26	23	64	49	13	4
20	29	33	48	7	10	54	59
53	60	8	9	34	47	19	30
14	3	63	50	25	24	44	37

Each magic square contains the numbers from 1 to 81 so that sum of eight numbers in every row,every column,each corner to corner diagonal is 260. These two magic squares have some relationship regarding placement of numbers. The numbers in every row and every column of the first magic square follow some logical paths in the second magic square. Also,the numbers in every every row and every column in second magic square follow some logical paths in the first magic square .Can you find the logical paths?

Are you interested to know more about magic squares ?Then visit http://www.gaspalou.fr/magic-squares/index.htm

addition 5

In the figure given below,each of letters B,G,M,A,D,E,W,N and T represents a different digit.

No letter represents  0.

What is the value of D ,if M+A+D=B+A+N=D+E+W=G+E+T=13 ?

magic square 8

 Forty five of the numbers from 1 to 81 have been placed in the 9x9

  grid given below.

	56		71		36		77
58	14	51		29		80	43	9
	52		31		24		2
65		28		81		50		13
	33		74	39	1		18
34		26		6		11		55
	73		54		16		22
78	40	5		10		27	35	70
	8		15		59		64

 





                                                                 MAGIC SQUARE 9x9

Place the remaining numbers in the blank cells in such a way that sum of nine numbers in every horizontal row,every vertical column,every 3x3 box and each corner to corner diagonal is 369.