Cross Sums / Kakuro / Puzzle 1 / Step 1 (Easy)

Logic Reasoning 1: Unique Combination
According to A’s column:  A+D = 3
The only possible combination for D and A are 2 and 1 (in some order).

Possible values for A:

1	2	3	4	5	6	7	8	9
		NO	NO	NO	NO	NO	NO	NO

Logic Reasoning 2: Lowest Possible Value – 2 Cells
According to A’s row: A+B = 11

If A was 1, then B would have to be 10 and that is not possible.  So A is 2 or greater. The LOWEST possible value for A or B is 2.

Possible Values for A:

1	2	3	4	5	6	7	8	9
NO

Logic Reasoning 3: Combine Row and Column Possibilities

Combine Logic reasoning 1 (A = 1 or 2) and Logic reasoning 2 (A >= 2).  The only value that would make both of these possible is A=2.

	1	2	3	4	5	6	7	8	9
Row (1)			NO	NO	NO	NO	NO	NO	NO
Col (2)	NO
Both (3)	NO		NO	NO	NO	NO	NO	NO	NO

So A=2.

Logic Reasoning 4: Complete Sums

Solve B:     A + B = 11;    2 + B = 11;    B = 11 – 2;   B = 9
Solve D:    A+D = 3;        2+D = 3 ;       D=3-2;          D=1
Solve C:    C+B=12;         C+9=12;        C=12-9;        C=3
Solve E:    E+D+C=13;    E+1+3 =13;   E=13-3-1;    E=9
Solve F:    F+E =12;        F+9=12;         F=12-9;       F=3
Solution: