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Question
The sum of three prime numbers is 80. The difference of two of them is 4. Find the numbers
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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