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Write a 2-digit number ab and the number...

Write a 2-digit number ab and the number obtained by reversing its digits. i.e., ba. Find their sum. Let the sum be a 3-digit number dad
i.e., ab + ba = dad
(10a + b) + (10b + a) = dad
11(a+b) = dad
The sum a + b cannot exceed 18 (Why?) Is dad a multiple of 11?
Is dad less than 198? Write all the 3 digit numbers which are multiples of 11 upto 198. Find the values of a and d.

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