# Roots in A.P

Algebra Level 3

If $$p$$ and $$q$$ are the roots of $${ x }^{ 2 }-2x+A=0$$ and

$$r$$ and $$s$$ are the roots of $${ x }^{ 2 }-18x+B=0$$ such that $$p<q<r<s$$ and $$p,q,r,s$$ are in A.P, find $$\left( A+B \right)$$

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