A number theory problem by Soumava Pal

Number Theory Level 3

We have two positive integers \(a\) and \(b\) such that \(a \div b=b.a\)

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

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

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