The sum of five distinct whole numbers is 337. If 60 is the smallest of them, what is the maximum value the largest number can have?Options :917097274
Question
The sum of five distinct whole numbers is 337. If 60 is the smallest of them, what is the maximum value the largest number can have?Options :917097274
Solution 1
The problem states that the sum of five distinct whole numbers is 337 and the smallest of them is 60.
Step 1: Subtract the smallest number from the total sum 337 - 60 = 277
Step 2: The remaining four numbers must also be distinct and greater than 60. So, let's assign the smallest possible values to the next three numbers, which are 61, 62, and 63.
Step 3: Subtract the sum of these three numbers from the remaining sum 277 - 61 - 62 - 63 = 91
So, the largest number that can be part of this set is 91. Therefore, the correct answer is 91.
Solution 2
The problem states that the sum of five distinct whole numbers is 337 and the smallest of them is 60.
Step 1: Subtract the smallest number from the total sum 337 - 60 = 277
Step 2: The remaining four numbers must also be distinct and whole, so they must be at least 1, 2, 3, and 4. Subtract the sum of these smallest possible values from the remaining total. 277 - 1 - 2 - 3 - 4 = 267
So, the largest number could be 267.
Therefore, the correct option is 274.
Solution 3
The problem states that the sum of five distinct whole numbers is 337 and the smallest of them is 60.
Step 1: Subtract the smallest number from the total sum 337 - 60 = 277
Step 2: The remaining four numbers must also be distinct and whole, so they must be at least 1, 2, 3, and 4. Subtract the sum of these smallest possible values from the remaining total: 277 - 1 - 2 - 3 - 4 = 267
So, the largest number could be 267.
Therefore, the correct option is 274.
Solution 4
The problem states that the sum of five distinct whole numbers is 337 and the smallest of them is 60.
Step 1: Subtract the smallest number from the total sum 337 - 60 = 277
Step 2: The remaining four numbers must also be distinct and whole, so they must be at least 1, 2, 3, and 4. Subtract these from the remaining total: 277 - 1 - 2 - 3 - 4 = 267
So, the largest number could be 267.
Therefore, the correct option is 274.
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