# Can someone solve this kakuro?

Can someone solve this? Please tell me how you did it. Source: Puzzle Page app

## 3 Answers

Without guessing:

Take a look at all the cells in the bottom two rows. Their sum must be $$39 + 12 + 17 = 68$$. The sum of the eight cells in the corners is $$17 + 9 + 17 + 15 = 58$$. This makes the sum of the two middle cells $$68 - 58 = 10$$ which only leaves $$4$$ and $$6$$ as possibilities there which quickly solves both corners.

Then

The middle $$17$$ has to have the $$9$$ on the left because the downwards $$20$$ would otherwise have to be $$8 + 8 + 4$$ or $$6 + 8 + 6$$.

Finally

The first cell of the across $$24$$ has to be a $$7$$ because otherwise the downwards $$27$$ would have to be $$2 + 9 + 4 + 8 + 4$$ or $$3 + 9 + 3 + 8 + 4$$.

• Wow, good job, thank you! – Olga May 9 '19 at 17:32

If

We put $$6$$ below $$15$$ clue

Then

Below $$6$$ is $$9$$, it's left will be $$8$$, it's up will be $$9$$

Also note that

We must put $$5$$ below $$9$$ clue as $$6$$ is used on the row

Thus

Below $$5$$ is $$4$$, it's left will be $$8$$, it's up will be $$9$$

Finally

There will be double $$9$$ on the row, hence don't put $$6$$ below $$15$$ clue, put $$7$$ instead

I play this game too! I think athin's answer gets you the bottom-right 2x2 and the bottom-left 2x2. I did a similar guess-and-solve to figure the rest. (The undo feature helps this, since it preserves your pencil marks.)

The 6-long row at the bottom has 4 and 6 remaining in the center two squares. I guessed 4 in the left one (in the 20 column) and solved from there until I found a contradiction. So I put a 6 there instead (so the row becomes 9 5 6 4 8 7) and solved the 20 column.

Then

The 27 column becomes ? ? ? 8 4. That middle blank should have 7 or 9 penciled in. 8 + 4 is 12, leaving 15 for the three squares. If you fill in a 9, 15 - 9 = 6 and there's no way to make 6 with the remaining pencil marks, so that one must be a 7. The rest solves accordingly.

• Thank you for the answers! But isn’t there a way to do it without guessing? I have tried for hours to add numbers together to figure out if a certain row or column must/can’t contain a certain number, but I couldn’t narrow it down more than I have 😅 – Olga Apr 30 '19 at 18:25
• Typically there is, this puzzle as pretty unusual. Perhaps there's an advanced technique to eliminate one of the numbers but guessing as the only way I saw it. – Somebody May 1 '19 at 16:21