SOLUTION: The two prime numbers p and m are between 50 and 60. Their difference is 6. What is their sum?
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Question 828725: The two prime numbers p and m are between 50 and 60. Their difference is 6. What is their sum?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
List the numbers between 50 and 60
50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60
Now erase the even numbers since 2 is a factor of them (which makes them composite and not prime)
51, 53, 55, 57, 59
Then erase 51 (17 is a factor since 17*3 = 51), 55 (55 = 5*11), and 57 (57 = 3*19) to be left with this list
53, 59
These two numbers are prime since their only factors are 1 and the number itself. Also notice how their difference is 59 - 53 = 6. So that part checks out.
Therefore, p = 53, m = 59
Sum: p+m = 53+59 = 112
Final Answer: 112
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