Quandaries
and Queries 

Who is asking: Parent Level: Middle Question: 

Hi, I think this is essentially a "guess and check" problem. The middle digit, and one less than the middle digit, are digits that have a square that is a two digit number. The possible choices for this middle digit are then 5, 6 ,7, 8 and 9. Thus there are only five possibilities for your 5 digit number. Construct them and see which one has 22 as the sum of its digits. For example if the middle digit is 9 then the number is 81964. The sum of the digits is
This is too big so the middle digit must be one of the other four. Penny 

