Pregunta
5 Cedric wrote these number pairs according
to a rule.
268,231
213,376
Which other number pair fits Cedric’s rule?
to a rule.
268,231
213,376
Which other number pair fits Cedric’s rule?
Ask by Reid Fleming. in the United States
Jan 24,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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The number pair that fits Cedric’s rule is 472, 445.
Solución
To determine which number pair fits Cedric’s rule, we need to analyze the given pairs:
-
First Pair: (268, 231)
- The sum of the digits of 268:
- The sum of the digits of 231:
- The sum of the digits of 268:
-
Second Pair: (213, 376)
- The sum of the digits of 213:
- The sum of the digits of 376:
- The sum of the digits of 213:
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:
- Sum of digits of 256:
Option B: (815, 778)
- Sum of digits of 815:
- Sum of digits of 778:
Option C: (472, 445)
- Sum of digits of 472:
- Sum of digits of 445:
Option D: (641, 612)
- Sum of digits of 641:
- Sum of digits of 612:
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.
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Simplifique esta solución Extra Insights
To find out which other number pair fits Cedric’s rule, we need to identify the pattern in the given pairs. Looking closely at the differences:
- For the first pair (268, 231), the difference is 37 (268 - 231).
- For the second pair (213, 376), the difference is 163 (376 - 213).
Now, let’s examine the options:
A: 295, 256 → Difference of 39 (not fitting the pattern)
B: 815, 778 → Difference of 37 (yes, fits the first pair)
C: 472, 445 → Difference of 27 (not fitting the pattern)
D: 641, 612 → Difference of 29 (not fitting the pattern)
B: 815, 778 → Difference of 37 (yes, fits the first pair)
C: 472, 445 → Difference of 27 (not fitting the pattern)
D: 641, 612 → Difference of 29 (not fitting the pattern)
Based on this analysis, option B (815, 778) is another pair that fits Cedric’s rule!
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