substitute x = 7 in first equation to get 49-14p+m = 0
Substitute x = 12 in second equation to get 144-24p+n = 0
n - m = 24p - 144 + 49 - 14p = 10p - 95
p + n - m = 11p - 95
p must be a prime number which when multiplied by 11 is greater than 95. prime values greater than 7 satisfy our requirement. p = 11 gets us option D.
Substitute x = 12 in second equation to get 144-24p+n = 0
n - m = 24p - 144 + 49 - 14p = 10p - 95
p + n - m = 11p - 95
p must be a prime number which when multiplied by 11 is greater than 95. prime values greater than 7 satisfy our requirement. p = 11 gets us option D.
