Given that the integer 5a6a7a8a9a can be divided by 11, find all integers satisfying this condition

Given that the integer 5a6a7a8a9a can be divided by 11, find all integers satisfying this condition

Characteristics of numbers divisible by 11
Add a number from the right to the left, and then calculate the difference between the odd and even digits. If the difference is a multiple of 11 (including 0), then the original number must be divisible by 11
5+6+7+8+9=35
Because 35-5a has to be a multiple of 11
So when a = 7, 35-5a = 0 is a multiple of 11
So the integer is 7