If $\alpha, \beta$ are the roots of $x^2-3 x+a=0$ and $\gamma, \delta$ are the roots of $x^2-12 x+b=0$ and…
If $\alpha, \beta$ are the roots of $x^2-3 x+a=0$ and $\gamma, \delta$ are the roots of $x^2-12 x+b=0$ and $\alpha, \beta, \gamma, \delta$ in that order form a geometric progression in increasing order with common ratio $r>1$, then $a+b=$