# Three numbers

We have three different non-zero digits. We will create all 3 digits numbers from them to use all 3 figures in each number. We add all the created numbers, and we get the sum of 1554. What were the numbers?

Result

a =  1
b =  2
c =  4

#### Solution:

$1554 = 2 \times 3 \times 7 \times 37 = 3 \times 518 = 6 \times 259 \ \\ abc + acb + bca + bac + cba + cab = 1554 \ \\ 124+142+241 + 214 + 421+ 412 = 1554 \ \\ a = 1$
$b = 2$
$c = 4$

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