**Answer a Maths Riddle - 15 February**

Can you find a seven digit number which describes itself. The first digit is the number of zeros in the number. The second digit is the number of ones in the number, etc. For example, in the number 21200, there are 2 zeros, 1 one, 2 twos, 0 threes and 0 fours.

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3211000

ReplyDelete3 zeros

2 ones

1 two

1 three

0 fours

0 fives

0 sixes

3211000

ReplyDelete3334444

ReplyDeleteThe first digit is the number of zeros in the number. ???

Delete6000000

ReplyDeleteshould be 6000001

Delete5000010 that's better

Deleteexcept, now you have a 1 so the number would need to change. It could be 521001000 or 6210001000

DeleteOops, missed the fact that is has to be 7 digits. The above two examples won't work.

DeleteTell me who I am! Who I am!

ReplyDeleteTake away from me the number eight,

Divide further by a dozen to come up with

A full team for a game of cricket!

150 is the answer

Delete140

Delete248

ReplyDeleteThese are the steps. You start with 6000000 because there are 6 zeros but then you have to add 1 in the 6 spot because there would've been 6 zeros. Now you have 5000010. However now you have one 1 so you must have the number 5100010 now. Since you now only have 4 zeros, your number becomes 4100100. Now you have 2 ones so your number is 4200100. Now, since you have a 2, your number is 4210100. Now you only have 3 zeros so,therefore your number is 3211000. Hope you guys get it now, or at least the confused people :).

ReplyDelete3211000

ReplyDelete3211000, interesting to see how the fibonacci sequence comes into it

ReplyDelete3211000, interesting to see how the fibonacci sequence comes into it

ReplyDelete