234. Representation of a number as a sum. Represent the number 316 as the sum of two addends, one of which is divisible by 13, and the other by 11.
234. If we divide 316 by 11, we get a quotient of 28 and a remainder of 8; but $8:(13-11)=4$. Therefore, the two required addends are respectively $4 \cdot 13=52$ and 264. We can also represent 316 as the sum of the numbers $52+11 \cdot 13=195$ and $264-$ $11 \cdot 13=121$.