Cross Sums / Kakuro – Puzzle 1, Step 2 (Easy)

Let’s move our attention up slightly:

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

A by the Column: Unique combination

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

Possible values for A by the column:

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

A by the Row: Lowest Possible – 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 by the row are:

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

Solve for A: Combine Row and Column Possibilities

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

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

So A=2.

Solve B,C,D,E: Complete Sums

Solve B:    A+B=11;       2+B=11;      B=11-2;     B=9
Solve C:    A+C=3;         2+C=3;        C=3-2;        C=1
Solve D:   B+D=11;       9+D=11;     D=11-9;      D=2
Solve E:   C+D+E=11;  1+2+E=11;  E=11-2-1;   E=8