# Thread: find numbers

1. ## find numbers

i don't know if this is the right place to post this topic...

write the number in the empty boxes, the sum of the numbers in columns and rows is 264 ( maybe in diagonal too)

number that you can write are :
11 61 81 91
16 66 86 96
18 68 88 98
19 69 89 99

i couldn't fill this completely
thanks for any help

2. Hello, the prince!

Here's one solution.

. . $\begin{array}{|c|c|c|c|}
\hline
66 & 11 & 89 & 98 \\ \hline 88 & 99 & 61 & 16 \\ \hline 91 & 86 & 18 & 69 \\ \hline19 & 68 & 96 & 81 \\ \hline \end{array}$

Note that the two main diagonals have a sum of 264,
so do the 2×2s in each corner,
and the 2×2 in the center,
and the four corner cells.

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

I did not use trial-and-error; I used logic.
If you insist, I'll explain my approach.

3. Originally Posted by the prince
i don't know if this is the right place to post this topic...

write the number in the empty boxes, the sum of the numbers in columns and rows is 264 ( maybe in diagonal too)

number that you can write are :
11 61 81 91
16 66 86 96
18 68 88 98
19 69 89 99

i couldn't fill this completely
thanks for any help
Nice! I'll start saving up some scratch for this
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