Number Grid.
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| Submitted: Tue Sep 02 2003
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Number Grid Look at the Number Grid below: 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 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 Use the Following rule: Find the product of the top left number, and the bottom right number in the square. Do the same with the bottom left and the top right numbers. Calculate the difference between these numbers. Example: 12 x 23 = 276 13 x 22 = 286 286 - 276 = 10 The difference is 10 Using the same rule with a different set of numbers 65 x 76 = 4940 66 x 75 = 4950 4940 - 4950 = 10 So the General rule for a 2x2 square in a 10x10 grid is: X X + 1 X + 10 X + 11 X x (x+11) = x + 11x (X+1) x (X+10) = x + 10x + x + 10 = x + 11x + 10 (x + 11x) - (x + 11x + 10) = 10 Using the same rule with a 3x3 square in a 10x10 grid: 15 16 ...


