Question

1. How many positive integers less than 1000 have the property that the sum of the

digits of each such number is divisible by 7 and the number itself is divisible by 3?

Answer 1

The question asked above, takes into account the following factors:

1- integers less than 1000

2- those digits should add up to a number which is a multiple of 7

3- and that number itself should be divisible by 3

Solution:

There are a total of 22 positive integers which meet the criteria.

Following is the list of those numbers:

399

489

498

579

588

597

669

678

687

696

786

795

849

858

867

876

885

939

948

957

966

975.

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