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Problem 25 (1994 AJHSME)

AJHSMEHard

From module Arithmetic and Number Theory Basics

Problem

Find the sum of the digits in the answer to 9999994 nines×4444494 fours\underbrace{999\dots99}_{94\text{ nines}} \times \underbrace{444\dots44}_{94\text{ fours}} where a string of 9494 nines is multiplied by a string of 9494 fours.

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