The sum of two numbers is 10 and their product is 21. What is the sum of their others?
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The sum of the two numbers is 10. The product of the two numbers is 21. What are the two numbers?
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Adding 3 and 7 gives us a sum of 10
Multiplying 3 and 7 to give 21
The significance of 10 becomes important when we square it with 3 and 7, consider 10^2 as an example.
10^2 - 7^2 = 51
10^2 - 3^2 = 91
51 and 91 are both composite, their factors give us,
7 x 13
3 x 17
Adding both factors gives us the sum of 20
7 + 13 = 20
3 + 17 = 20
This clearly shows a prime added or subtracted to 10 gives us the sum of prime number factors which is 20 or 2x10.
(10-P) + (10+P) = 2 x 10
The significance of “2 and 10” acting as doublers throughout the system doubling the prime number positions provides strong evidence of a relationship with the power series 1, 4, 9, 16, 25, 36, 49, 64, 81…ad infinitum