Age ratio

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

Result

r =  1:2

Solution:

J=14 J:Z=2:3 Z=32⋅ J=32⋅ 14=21  r=J−7Z−7=14−721−7=12=0.5=1:2J=14 \ \\ J:Z=2:3 \ \\ Z=\dfrac{ 3 }{ 2 } \cdot \ J=\dfrac{ 3 }{ 2 } \cdot \ 14=21 \ \\ \ \\ r=\dfrac{ J-7 }{ Z-7 }=\dfrac{ 14-7 }{ 21-7 }=\dfrac{ 1 }{ 2 }=0.5=1:2

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