A number theory problem by Soumava Pal

We have two positive integers aa and bb such that a÷b=b.aa \div b=b.a

Note that a.ba.b refers to the decimal expression, where if a=93,b=28a=93, b=28 then a.b=93.28a.b=93.28 .

Find the remainder when 1000000007 is divided by a+b a+b.

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