find all pairs of three-digit numbers such that reversing the order of the digits of one number gives the second number, and where the two numbers add up to 969

Answer 1

The center number must be three, because on reversing, the position of the center number does not change and hence twice the center number is 6.

The first and third number must add up to nine, because upon reversing, these two numbers will be added to each other to give the two nines in first and last place.

So, two pairs are:

138, 831
237, 732

There are two more pairs. Based on this, can you identify them?

Answer 2

Yes, thank you very much :)