5 Cedric wrote these number pairs according to a rule. 268,231 213,376 Which other number pair fits Cedric's rule? \( \begin{array}{ll}\text { A } 295,256 & \text { C } 472,445 \\ \text { B } 815,778 & \text { D } 641,612\end{array} \)

To determine which number pair fits Cedric's rule, we need to analyze the given pairs: 1. **First Pair: (268, 231)** - The sum of the digits of 268: \(2 + 6 + 8 = 16\) - The sum of the digits of 231: \(2 + 3 + 1 = 6\) 2. **Second Pair: (213, 376)** - The sum of the digits of 213: \(2 + 1 + 3 = 6\) - The sum of the digits of 376: \(3 + 7 + 6 = 16\) From the analysis, we can see that in both pairs, the sum of the digits of the first number is equal to the sum of the digits of the second number in reverse order. Now, let's check each of the options to see which one follows this rule: **Option A: (295, 256)** - Sum of digits of 295: \(2 + 9 + 5 = 16\) - Sum of digits of 256: \(2 + 5 + 6 = 13\) **Option B: (815, 778)** - Sum of digits of 815: \(8 + 1 + 5 = 14\) - Sum of digits of 778: \(7 + 7 + 8 = 22\) **Option C: (472, 445)** - Sum of digits of 472: \(4 + 7 + 2 = 13\) - Sum of digits of 445: \(4 + 4 + 5 = 13\) **Option D: (641, 612)** - Sum of digits of 641: \(6 + 4 + 1 = 11\) - Sum of digits of 612: \(6 + 1 + 2 = 9\) Now, let's summarize the results: - A: 16, 13 (not a match) - B: 14, 22 (not a match) - C: 13, 13 (both sums are equal, but not in reverse) - D: 11, 9 (not a match) None of the options fit the exact rule of the first two pairs. However, option C has equal sums, which is a different kind of relationship. If we strictly follow the original rule of reverse sums, none of the options fit perfectly. If we consider equal sums as a potential rule, then option C could be a candidate. Thus, the answer is **C: 472, 445** as it has equal sums.