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:
Step-by-step explanation:
[tex]a+c=23\\a+d=20\\e+c=21\\b+e=24\\d+b=22\\[/tex]
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