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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?

 

 May 1, 2021
edited by Guest  May 1, 2021
edited by Guest  May 1, 2021
 #1
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We have  this system

 

a + c  =  23

a + d  =  20

b + e =  24

e + c =   21

b + d  = 22       add  these equations together

 

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 

 

cool cool cool

 May 1, 2021

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