The two numbers are the complex conjugate pair
27.5 - 79.0174i
and
27.5 + 79.0174i
where i is the imaginary square root of -1.
19
11(5 + 6)
The first 5 primes are 2, 3, 5, 7, 11 Their product = 2310. Average of 5 numbers is 55 so their sum is 55*5 = 275. Two numbers, 68 and 93 are added so the new sum of seven numbers is 275 + 68 + 93 = 436 So the new average is 436/7 = 62.3 (to 1 dp).
11
-55
55
23 and 32
five, eleven 11 - 5 = 6 (difference) 11 + 5 = 16 (sum) 11 x 5 = 55 (product)
19
11(5 + 6)
The first 5 primes are 2, 3, 5, 7, 11 Their product = 2310. Average of 5 numbers is 55 so their sum is 55*5 = 275. Two numbers, 68 and 93 are added so the new sum of seven numbers is 275 + 68 + 93 = 436 So the new average is 436/7 = 62.3 (to 1 dp).
11
-55
The numbers are: 55 and 2.25
55
5 & 11 !
Well, I don't believe this is the answer, but 55 works. 55+55+55=165.