Question 1196730: The total number of medals won by athletes in each of the countries A, B, C, and D are four consecutive integers whose sum is 98. Find the number of medals for each country.
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617)   (Show Source):
Answer by greenestamps(13200)  (Show Source):
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Any set of consecutive integers form an arithmetic sequence.
The sum of the terms of an arithmetic sequence is the number of terms, multiplied by the average of the terms.
Since the sum is 98 and there are 4 terms, the average is 98/4 = 24.5.
Logical reasoning then says the four consecutive integers are 23, 24, 25, and 26.
ANSWER: 23, 24, 25, and 26
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