# Are you watching these Quadratic Equations closely?

Algebra Level 5

If the three equations ; $$x^{2}+ax+12=0$$ , $$x^{2}+bx+15=0$$ and $$x^{2}+(a+b)x+36=0$$ have a common root .

Then find the sum of maximum value of $$a$$ and minimum value of $$b$$ .

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