Use a congruence modulo 9 to find the missing digit, indicated by a question mark: 89, 878*58,965=5299? 56270.

Russell Marsh 2022-09-30 Answered
Use a congruence modulo 9 to find the missing digit, indicated by a question mark: 89, 878*58,965=5299? 56270.
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Answers (1)

Amir Hanna
Answered 2022-10-01 Author has 6 answers
Notice that 89 , 878 8 + 9 + 8 + 7 + 8 4 ( mod 9 ) , 58 , 965 5 + 8 + 9 + 6 + 5 6 ( mod 9 ), and 5 , 299 , ? 56 , 270 5 + 2 + 9 + 9 ? + 5 + 6 + 2 + 7 + 0 ? ( mod 9 ). Now, 89 , 878 58 , 965 4 6 6 ? ( mod 9 ). Thus, as the question mark represents a single decimal digit, we get that ?=6
Result:
The missing digit indicated by the question mark is 6.
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