Money distribution

Adam, Boris, and Cyril have 21 CZK in total. Adam and Boris together have 11 CZK, and Boris and Cyril together have 13 CZK. How much does each of them have?

Final Answer:

a =  8
b =  3
c =  10

Step-by-step explanation:


a+b+c=21
a+b=11
b+c=13

a+b+c = 21
a+b = 11
b+c = 13

Row 2 - Row 1 → Row 2
a+b+c = 21
-c = -10
b+c = 13

Pivot: Row 2 ↔ Row 3
a+b+c = 21
b+c = 13
-c = -10


c = -10/-1 = 10
b = 13-c = 13-10 = 3
a = 21-b-c = 21-3-10 = 8

a = 8
b = 3
c = 10

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