The product of the two 99-digit numbers and has thousands digit and units digit

MATHEMATICS · Numerical · CBSE · Mathematics · Power Play · Power Play

Problem

The product of the two 99-digit numbers

303{,}030{,}303{,}\ldots{,}030{,}303

and

505{,}050{,}505{,}\ldots{,}050{,}505

has thousands digit

A

and units digit

B

. What is

A+B