250. Iron Chain. On the battlefield, two pieces of iron chain were found. How it got there and for what purposes it was used is unknown, but we don't need to know that. The chain was made up of round links (all of the same size) made from an iron rod with a thickness of $\frac{1}{2}$ cm. One piece of the chain was $36 \mathrm{~cm}$ long, and the other was 22 cm.

If we assume that one piece contained 6 more links than the other, how many links were in each piece?
250. If the inner diameter of a link is multiplied by the number of links and the double thickness of the iron rod is added, then the length of the chain is obtained. Each link, when attached to the chain, loses its length by twice the thickness of the rod. The inner diameter is \(2 \frac{1}{3} \mathrm{~cm}\). If we multiply it by 9 and add 1, we get exactly 22 cm, and if we multiply it by 15 and add 1, we get exactly 36 cm. Therefore, two pieces of the chain contain 9 and 15 links, respectively.