KöMaL 2020 B5136

The population of an island consists of underdogs and overlords. When a stranger visited the island, he was invited for dinner with a company of inhabitants. At the end, he asked each member of the company how many overlords were present. The underdogs all gave figures less than the true value and the overlords all gave figures larger than the true value. Is it true that the number of overlords can always be determined from the answers?