Let a, b, c, d, and e be positive integers. The sum of the four numbers on each of the five segments connecting "points" of the star is 28. What is the value of the sum a+b+c+d+e?​

QUESTION:

Let a, b, c, d, and e be positive integers. The sum of the four numbers on each of the five segments connecting "points" of the star is 28. What is the value of the sum a+b+c+d+e?

ANSWER:

We have this system

a + c = 23 ..(1)

a + d = 20 ..(2)

b + e = 24 ..(3)

e + c = 21 ..(4)

b + d = 22 ..(5)

Add these equations together, we get

2(a + b + c + d + e) = 20 + 21 + 22 + 23 + 24

2(a + b + c + d + e) = 110

a + b + c + d + e = 110 / 2

a + b + c + d + e = 55.

the answer to your question is:

c. complementary base-pairing

i think that c)gold was found there

but i am not sure