Maron Posted May 23, 2006 Share Posted May 23, 2006 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? Link to comment Share on other sites More sharing options...
Phi for All Posted May 23, 2006 Share Posted May 23, 2006 You've been trying for years? Since the rooms are square the tiles are even multiples, like 4x4, 5x5, 6x6, etc. There's probably a formula but you can just keep multiplying numbers by themselves to find the answer. Or find a multiplication table that goes up that high. Her multiple is only one higher than his multiple, if that helps you with a starting point. Link to comment Share on other sites More sharing options...
Tartaglia Posted May 23, 2006 Share Posted May 23, 2006 Let small room be n*n and large (n+m)*(n+m) ie (n+m)^2 -n^2 = 101 or m*(2n+m) = 101 ie m is a factor of 101, which is prime therefore m = 1, n =50 Link to comment Share on other sites More sharing options...
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