Equation 5900

Adam, Cyril, and Boris have a total of 102 CZK.
How many crowns does Adam have, how many Boris and how many Cyril, if all three have the same when:
a) Adam gives three crowns to Cyril
b) Boris will give half of his money to Cyril
c) Adam will give a third of his money to Boris
Solution without equation.

Correct answer:

A =  54 Kc
B =  32 Kc
C =  16 Kc

Step-by-step explanation:

$$\begin{gathered} r=102/3=34\text{kc} \\ A-3-(A-3)/3=r \\ A-3-(A-3)/3=34 \\ A=54=54\text{Kc} \end{gathered}$$

$$\begin{gathered} B-B/2+A/3=r \\ B=2\cdot (r-A/3)=2\cdot (34-54/3)=32\text{Kc} \end{gathered}$$

$C=102-A-B=102-54-32=16\text{Kc}$

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