Guest Posted January 9, 2009 Report Share Posted January 9, 2009 What is the largest 2-digit number that satisfies the following. Take a 2-digit number, and square it. Take all 3 distinct digits of the square, and reverse them. Take the square root of this reversed square Reverse the 2 digits which yields the original number. Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted January 9, 2009 Report Share Posted January 9, 2009 What is the largest 2-digit number that satisfies the following. Take a 2-digit number, and square it. Take all 3 distinct digits of the square, and reverse them. Take the square root of this reversed square Reverse the 2 digits which yields the original number. 31 next is 25 Quote Link to comment Share on other sites More sharing options...
0 Guest Posted January 9, 2009 Report Share Posted January 9, 2009 What is the largest 2-digit number that satisfies the following. Take a 2-digit number, and square it. Take all 3 distinct digits of the square, and reverse them. Take the square root of this reversed square Reverse the 2 digits which yields the original number. 31 21 or 11 are the only three i found Quote Link to comment Share on other sites More sharing options...
0 Guest Posted January 9, 2009 Report Share Posted January 9, 2009 (edited) 31 is the largest one, 312 = 961 => reverse = 169 = 132 Edited January 9, 2009 by woon Quote Link to comment Share on other sites More sharing options...
0 Guest Posted January 9, 2009 Report Share Posted January 9, 2009 (edited) Unless there is a more interesting answer 11 square = 121, reverse = 121 sqr root = 11 Ooops, forgot the "largest" instruction... Edited January 9, 2009 by Archimedes Quote Link to comment Share on other sites More sharing options...
0 Guest Posted January 9, 2009 Report Share Posted January 9, 2009 31 next is 25 This contains the right (according to me) 31 is what I was looking for. By distinct, I meant that the three digits of the square were all different (although that seems to have been unclear). Thus only 13 and 31 fulfill the requirements and 31 is the largest. 25 is not going to work at any rate. 25**2 = 625, reversed is 526, sqrt(526) is 22.9xxxx Quote Link to comment Share on other sites More sharing options...
Question
Guest
What is the largest 2-digit number that satisfies the following.
Take a 2-digit number, and square it.
Take all 3 distinct digits of the square, and reverse them.
Take the square root of this reversed square
Reverse the 2 digits which yields the original number.
Link to comment
Share on other sites
5 answers to this question
Recommended Posts
Join the conversation
You can post now and register later. If you have an account, sign in now to post with your account.