Ravens

In the tale of the Seven Ravens, there were seven brothers, each born exactly 4 years after the previous one. When the eldest was 4 times older than the youngest, their mother put a curse on all of them. How old were the seven brothers when their mother cursed them?

Final Answer:

k₁ (youngest) =  8
k₂ =  12
k₃ =  16
k₄ =  20
k₅ =  24
k₆ =  28
k₇ (oldest) =  32

Step-by-step explanation:

$$\begin{gathered} \frac{k_1}{k_7}=\frac{x}{6\cdot 4+x}=\frac{1}{4} \\ 4x=6\cdot 4+x \\ x=\frac{6\cdot 4}{4-1}=8 \\ {k}_1=8 \end{gathered}$$

$k_2=k_1+4=12$

$k_3=k_2+4=16$

$k_4=k_3+4=20$

$k_5=k_4+4=24$

$k_6=k_5+4=28$

$k_7=k_6+4=32$

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