Cross Sums / Kakuro – Puzzle 1, Step 4 (Easy)

We’ll solve for A.  First we will find the possibilities for A by the row and then A by the column.

A by the row: Unique combination

According to A’s column:  A+B = 4
The only possible combination for A and B are 3 and 1 (in some order).

Possible values for A by the row:

By:	1	2	3	4	5	6	7	8	9
Row		NO		NO	NO	NO	NO	NO	NO

A by the Row: Lowest Possible – 2 Cells

According to A’s row: A+C = 12

If A was 2, then C would have to be 10 and that is not possible.  So A is 3 or greater. The LOWEST possible value for A or C is 3.

Possible Values for A by the column are:

By:	1	2	3	4	5	6	7	8	9
Column	NO	NO

Solve for A: Combine Row and Column Possibilities

Combine row possibilities (A = 1 or 3) and column possibilities (A >= 3).  The only value that would make both of these possible is A=3.

By:	1	2	3	4	5	6	7	8	9
Row		NO		NO	NO	NO	NO	NO	NO
Column	NO	NO
Both	NO	NO	YES	NO	NO	NO	NO	NO	NO

So A=3.

Solve B,C Complete Sums

Solve B:    A+B=4;       3+B=4;         B=4-3;          B=1
Solve C:    A+C=12;     3+C=12;       C=12-3;        C=9