Divisibility

If the 9 digit number 1111124 a b \overline{1111124ab} is divisible by 44, then what is the sum of all possible numbers a b \overline{ab} ?


The answer is 156.

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1 solution

Sofien Elleuch
Mar 22, 2019

1111124ab=11q+10+4ab on cherche les multiples de 11 entre 400 et 499 puis on supprime 10 et on prend le nombre ab divisible par 4 donc on prend 08,52,96 avec08+52+96=156

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