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2

Part of 1996 Swedish Mathematical Competition

Problems(1)

2 values of stamps in the country of Postonia,

Source: 1996 Swedish Mathematical Competition p2

4/2/2021
In the country of Postonia, one wants to have only two values of stamps. These values should be integers greater than 11 with the difference 22, and should have the property that one can combine the stamps for any postage which is greater than or equal to the sum of these two values. What values can be chosen?
number theory