Three-digit 7463

Dominika wrote a three-digit number ending with the number 6. When she crossed out the last digit and wrote it at the beginning of the number, she noticed that the new number was as much greater than 600 as the original number was less than 600. What number did Dominika come up with?

Correct answer:

a =  546

Step-by-step explanation:

a = 10c + 6 600 + c = 600 + (600a)  600+c=600+(600(10 c+6))  11c=594  c=11594=54  c=54  a=10 c+6=10 54+6=546

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