Sibling ages

The three siblings' ages are in such proportions: E: J = 5:4, J: P = 3:2. They are a total of 35 years old. How old are Eve, Jožo, and Peter?

Final Answer:

E =  15
J =  12
P =  8

Step-by-step explanation:

$$\begin{gathered} E+J+P=35 \\ 4E=5J \\ 2J=3P \\ 5\cdot J/4+J+2\cdot J/3=35 \\ 35J=420 \\ J=\frac{420}{35}=12 \\ J=12 \\ E=5\cdot J/4=5\cdot 12/4=15 \end{gathered}$$

$P=2\cdot J/3=2\cdot 12/3=8$

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