document.write( "Question 828725: The two prime numbers p and m are between 50 and 60. Their difference is 6. What is their sum? \n" ); document.write( "

Algebra.Com's Answer #499468 by jim_thompson5910(35256) $\"\"$ $\"About$

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List the numbers between 50 and 60\r
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\n" ); document.write( "\n" ); document.write( "50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60\r
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\n" ); document.write( "\n" ); document.write( "Now erase the even numbers since 2 is a factor of them (which makes them composite and not prime)\r
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\n" ); document.write( "\n" ); document.write( "51, 53, 55, 57, 59\r
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\n" ); document.write( "\n" ); document.write( "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\r
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\n" ); document.write( "\n" ); document.write( "53, 59\r
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\n" ); document.write( "\n" ); document.write( "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.\r
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\n" ); document.write( "\n" ); document.write( "Therefore, p = 53, m = 59\r
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\n" ); document.write( "\n" ); document.write( "Sum: p+m = 53+59 = 112\r
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\n" ); document.write( "\n" ); document.write( "Final Answer: 112 \n" ); document.write( "

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