SOLUTION: All the six-digit numbers that can be formed using the digits 2,3,5,6,7, and 9 are written. If each digit can be used only once, what is the largest of these numbers that is divisi

Question 1104303: All the six-digit numbers that can be formed using the digits 2,3,5,6,7, and 9 are written. If each digit can be used only once, what is the largest of these numbers that is divisible by 11?
Answer by ikleyn(52890) (Show Source): You can put this solution on YOUR website!
.
975623.

Use the divisibility rule by 11:

     The number is divisible by 11 if and only if the alternate sum of its digits is divisible by 11.

Regarding this rule, see the lesson
- Divisibility by 11 rule
in this site.

Then, if you just know this rule, all you need is to place the digits in reasonable order.

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