A number is twice another number. Two less than the bigger number is equal to one more than the smaller number. What are the numbers?

A number is twice another number. Two less than the bigger number is equal to one more than the smaller number. What are the numbers?
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Guest [Entry]

"x - the smaller number
2x - the bigger number

2x - 2 = 1 + x
2x - x = 1 + 2
x = 3
2x = 6

3 and 6 are the numbers"