Maron

A problem from a highschool maths book..... ive been trying to work this one out for years. Mr and Mrs Wombat live in a house in which the floor of every room is a square and covered with identical square tiles. Mrs Wombat's room contains 101 tiles more than Mr Wombat's room. How many tiles does Mrs Wombat's room contain?

Find all two digit-numbers N such that N+2 is also a two-digit number and the digit sum of N+2 is less than the digit sum of N. Help Would be apreciatted. Thank You