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?

Correct answer:

a =  1
b =  2
c =  4

Step-by-step explanation:

1554=2×3×7×37=3×518=6×259 abc+acb+bca+bac+cba+cab=1554 124+142+241+214+421+412=1554 a=1=1

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