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.

Final Answer:

a =  34 Eur
b =  32 Eur
c =  33 Eur

Step-by-step explanation:

$$\begin{gathered} a+b+c=99 \\ a=2+b \\ b=c-1 \\ (2+b)+b+(b+1)=99 \\ 3b=96 \\ b=\frac{96}{3}=32 \\ b=32 \\ a=2+b=2+32=34\text{Eur} \end{gathered}$$

$c=b+1=32+1=33\text{Eur}$

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