SOLUTION: Both my brother’s ages and mine are prime numbers. My brother is 6 years older than me. What could our ages be? 

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Question 959896: Both my brother’s ages and mine are prime numbers. My brother is 6 years older than me. What could our ages be? 
Answer by Alan3354(69443) About Me  (Show Source):
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Both my brother’s ages and mine are prime numbers. My brother is 6 years older than me. What could our ages be?
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It's a trial and error problem.
Try a prime #, add 6, see if the 2nd number is prime.
eg, 103 & 109 ?
311 & 317 ?
401 & 407 ?