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Strategy to solve complex problems Use a number 1, 2, 3, 4, 5, 6, 7, 8, 9 only once so that sum of three numbers are identical in each row, column and.

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Presentation on theme: "Strategy to solve complex problems Use a number 1, 2, 3, 4, 5, 6, 7, 8, 9 only once so that sum of three numbers are identical in each row, column and."— Presentation transcript:

1 Strategy to solve complex problems Use a number 1, 2, 3, 4, 5, 6, 7, 8, 9 only once so that sum of three numbers are identical in each row, column and diagonal:

2 Step 1: Determine what is known: Sum of must be the sum of a three identical numbers.

3 Step 1: Determine what is known: Sum of must be the sum of a three identical numbers.

4 Step 1: Determine what is known: Sum of must be the sum of a three identical numbers.

5 Step 1: Determine what is known: Sum of must be the sum of a three identical numbers.

6 = 45 Step 1: Determine what is known: Sum of must be the sum of a three identical numbers.

7 = 45 Step 1: Determine what is known: Sum of must be the sum of a three identical numbers.

8 Step 2: Sum of three numbers = 15: = 45 7, 8, 9 are separated. Otherwise 7+8 = 15, 7+9 = 16, and 8+9 = 17.

9 Step 2: Sum of three numbers = 15: 7 + __ + __ = 8 + __ + __ = 9 + __ + __

10 Step 3: 7 + __ + __ = 8 + __ + __ = 9 + __ + __ & 9 add up to 15 in two separate ways. 8 adds up to 15 in three separate ways.

11 Step 3: 7 + __ + __ = 8 + __ + __ = 9 + __ + __ has a corner. 7 & 9 are in the middle

12 Step 3: 7 + __ + __ = 8 + __ + __ = 9 + __ + __ is in the center, as it adds 3 ways 5

13 Step 3: 7 + __ + __ = 8 + __ + __ = 9 + __ + __ is in the center, as it adds 3 ways 5

14 Step 3: 7 + __ + __ = 8 + __ + __ = 9 + __ + __ , 2 and 3 are filled next

15 Step 3: 7 + __ + __ = 8 + __ + __ = 9 + __ + __ is next

16 Step 3: 7 + __ + __ = 8 + __ + __ = 9 + __ + __ is the last


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