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

MATHEMATICS · Numerical · ICSE · Mathematics · Playing with Numbers · Playing with Numbers

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 the sum of

A

and

B