Blog Post #166: Mansions πŸ˜

Dear Friends,

This particular blog post is dedicated to Eric & Martine Van Steerteghem. Eric turned 66 earlier this year, and he puts 100% into everything he does…so he should feel nicely at home here in Blog Post #100+66 😁. Eric’s wife, Martine, will be turning 60 on 26 April, but I’d rather be a double high-five days πŸ™Œ early in posting very happy birthday wishes now, than risk being late due to many other forthcoming commitments!

Rearrange the letters of MARTINE to make a different proper 7-letter English word beginning with M.

In honour of my colleague Jens (one of Eric and Martine’s two sons), rearrange the letters of SON IS MAN to make a proper 8-letter English word.

Beautiful Bible Passage

Super-Special Brainteaser

Get ready to think of some super-special three-digit positive whole numbers…For convenience, we’ll give the set of them the name S. If I were to show you the numbers in S right now, you’d see directly that none of the individual numbers contain repeated digits. In other words, each one of the numbers in S contains three different digits. Also, no zeroes are involved.

Now imagine picking N, a three-digit number in S, and then writing down all the different two-digit positive whole numbers that can be formed using pairs of different digits from N. For example, if N was 185 in honour of Eric & Martine’s 18 May wedding anniversary, then we could use its digits to make 15, 18, 51, 58, 81, 85. However, 185 won’t do for N !! Why not?! The reason is that the sum 15 + 18 + 51 + 58 + 81 + 85 doesn’t equal 185.

EVERY three-digit number N in S is super-special because in each case the two-digit numbers that can be formed from N really do have a sum exactly equal to N. πŸ‘Œ

Having emphasized that requirement, we’re now ready to state your super-special, fun challenge brainteaser. It‘s to discover exactly which three-digit numbers are in S, and then calculate the arithmetic mean (average) of all of them by adding them up and dividing by the number of numbers in S !

I wish you oodles of enjoyment with all the puzzles 😁, and please do feel free to send me your solutions by email, if you like. πŸ‘

With kindest wishes as always,

Paul M😊twani ❀️

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Author: Paul A. Motwani

My name is Paul Motwani, but my colleagues, my students and their parents mostly call me "Mr. Mo"! My middle initial, A, stands for Anthony, because I was born on the official feast day of St. Anthony of Padua, the patron saint of miracles and of lost souls. I love teaching Mathematics and Chess, and giving fun-packed talks and shows in schools and clubs. The popular ingredients of Math, Chess, Mystery and Magic are my "Fantastic Four", and I give prizes too! I am an International Chess Grandmaster, and (loooooong ago!) I was the World Under-17 Champion. I am the author of five published chess books and hundreds of newspaper articles. I live with my wonderful wife and son in Belgium. I also love music, movies and puzzles. I blog at paulmotwani.com. My e-mail address is pmotwani141@gmail.com. You can find me on Facebook, too.

2 thoughts on “Blog Post #166: Mansions πŸ˜”

  1. Hey Paul, Thank you for honoring my wife Martine … it was a lot of work but EXCEL helped me (and a combination generator on the Internet) . Thank you for giving me (once again ) a challenging half day! See you later. Eric

    Liked by 1 person

    1. Dear Eric,
      Thank you for your very nice message. 😊 I am so glad that you enjoyed the article. Congratulations also on solving the brainteaser! πŸ‘ŒπŸ‘ The answer was in honour of your wife Martine’s birthday on πŸŽ‚ 26.4 !! 😁 Wishing you a wonderful, happy day now, Paul 😊

      Like

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