Question 78
A finite number of real numbers are ordered around a circle, and each number is coloured red, white or blue. Each red number is twice smaller than the sum of its two adjacent numbers, each white number is equal to the sum of its two adjacent numbers, and each blue number is twice larger than the sum of its two adjacent numbers. Let $w$ be the sum of all white numbers, and $b$ be the sum of all blue numbers, where both $w$ and $b$ are not $0$.
Determine the ratio $\frac{w}{b}$.
Determine the ratio $\frac{w}{b}$.