The tickets

The tickets to the show cost some integer number greater than 1. Also, the sum of the price of the children's and adult tickets and their products was the power of the prime number. Find all possible ticket prices.

Correct answer:

a1 =  2
a2 =  4
a3 =  8
a4 =  16

Step-by-step explanation:

a+b = p1x a b = p2y  p1, p2  prime n2 = 2,4,6,8., 2k  a = b = p2  a+b = 2 p2 = p1x  => p1 = 2 p1   p2 = p1x  a1=2 b1=2  s1 = 2+2 = 4 = 22 s2 = 2 2 = 4 = 22
a2=4 b2=4  s1 = 4+4 = 8 = 23 s2 = 4 4 = 16 = 24
a3=8 b3=8  s1 = 8+8 = 16 = 24 s2 = 8 8 = 64 = 26
a4=16 b4=16  s1 = 16+16 = 32 = 25 s2 = 16 16 = 256 = 28



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