Determine 2743

Victoria, Vivien, and Marián have a total of 99 euros. Vivien has 2 euros more than Marian, and Marian has 1 euro less than Victoria. Determine how many euros each one has.

Correct answer:

a =  34 Eur
b =  32 Eur
c =  33 Eur

Step-by-step explanation:


a+b+c=99
a = 2+b
b = c-1

a+b+c = 99
a-b = 2
b-c = -1

Row 2 - Row 1 → Row 2
a+b+c = 99
-2b-c = -97
b-c = -1

Row 3 - 1/-2 · Row 2 → Row 3
a+b+c = 99
-2b-c = -97
-1.5c = -49.5


c = -49.5/-1.5 = 33
b = -97+c/-2 = -97+33/-2 = 32
a = 99-b-c = 99-32-33 = 34

a = 34
b = 32
c = 33

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