Two identical five-digits

We have two identical five-digit numbers, but we don't know which ones. When we write one before the first and after the second one we get two six-digit numbers, one of which is three times the other. What are the numbers?

Correct answer:

x =  42857

Step-by-step explanation:

3⋅ (100000+x)=10⋅ x+1  7x=299999  x=42857=42857

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