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Question
The sum of three prime numbers is 80. The difference of two of them is 4. Find the numbers
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Solution
Given the sum of three prime numbers is 80
The numbers will be one or two-digit prime numbers. Also one of them is 2
Sum of the remaining 2 numbers = 78 ...[∵ one number must be even]
Also, their difference = 4 ....(Given) [Otherwise sum of three odd numbers is odd]
The numbers will be 37 and 41
The required numbers are 2, 37, 41
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