# 1234ab

$$a$$ and $$b$$ are digits chosen from 0 to 9. The number $$\overline{1234ab}$$ is a multiple of 9 and 11. What is the value of $$\overline{ab}$$?

Details and assumptions

$$\overline{abc}$$ means $$100a + 10b + 1c$$, as opposed to $$a \times b \times c$$. As an explicit example, for $$a=2, b=3, c=4$$, $$\overline{abc} = 234$$ and not $$2 \times 3 \times 4 = 24$$.

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