Age ratio

Janko is 14 years old. The age ratio of Janka and Zuzka is 2: 3. What was the ratio seven years ago?

Correct answer:

r =  1:2

Step-by-step explanation:

$$\begin{gathered} J=14 \\ J:Z=2:3 \\ Z={\displaystyle \frac{3}{2}}\cdot J={\displaystyle \frac{3}{2}}\cdot 14=21 \\ r={\displaystyle \frac{J-7}{Z-7}}={\displaystyle \frac{14-7}{21-7}}={\displaystyle \frac{1}{2}}=0.5=1:2 \end{gathered}$$

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