Separated Twins

A Maths Starter of The Day

Can you find a 14 digit number containing two each of the digits one to seven?


The two 7s are separated by seven other digits;
The two 6s are separated by six other digits;
The two 5s are separated by five other digits;
The two 4s are separated by four other digits;
The two 3s are separated by three other digits;
The two 2s are separated by two other digits;
The two 1s are separated by one other digit.

 

 

 

 

Click here for a clue to get you started

www.transum.org/go/?to=twins

 

 

 

 

 

One solution is:
4 6 3 5 7 4 3 2 6 5 2 1 7 1
Is that the only one?

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Keywords: Starter | Logic | Puzzles

"other answers
46357432652171
23726351417654
72632453764151
72452634753161"

9k1, Kettlethorpe High School
Monday, September 18, 2006

 

"Well done 9k1, Kettlethorpe High School. I wonder if that is all possible answers?"

Transum,
Tuesday, September 19, 2006

 

"My year 8's absolutely loved the "Separated Twins" starter. I set it as an optional piece of work for my year 11's over a weekend and one girl came up with 3 independant solutions."

*Mrs. Peacock, Downe House School and Kennet School
Monday, October 02, 2006

 

"Students found 47364352762151."

Sohana, Gateway Academy
Tuesday, September 18, 2007

 

"We found another solution: 17126425374635 (Which is also my phone number!)"

Lana, Lindsworth North, Birmingham, UK
Tuesday, September 18, 2007

 

"Starter of the day 18th September. Other possible answers which class 11Y1 found are:
73625324765141
17126425374635"

Mr Smith, Durrington High School, Worthing
Wednesday, September 19, 2007

 

"I found 45671415362732."

Chloe Beames, Broadoak W-s-M
Thursday, September 20, 2007

 

"I found this one 26721514637543 and 34573641512762"

Sam Yr 8, Broadoak Weston-Super-Mare
Thursday, September 20, 2007

 

"Year 11 top set also found 57263254376141 and 71416354732652"

Mr Hamshaw-Hart, Beverley Grammar School
Friday, September 21, 2007

 

"My Year 11m1 class found one solution 52462754316137. They thought it was silly but actually all had a go."

Miss K Smith, Wildern School
Friday, November 02, 2007

 

"15173465324726"

8H1, Helenswood School
Thursday, September 18, 2008

 

"Our Year 8 students discovered this solution to separated twins
16172452634753"

Wednesfield High, JSS
Thursday, September 18, 2008

 

"Top set year 9 got 2 solutions
73625324765141
71316435724625"

Wednesfield High School, JSS
Thursday, September 18, 2008

 

"We got 76543121726435, from Y11 at St.George's, Sleaford."

Ross West & Friends, Sleaford
Friday, September 19, 2008

 

"Other Solutions

61517346532472

41617435263275

41716425327635"

Curtis, 7
Monday, September 22, 2008

 

"Another solution:
73625324765141"

Sevgi, London
Wednesday, September 24, 2008

 

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This starter has scored a mean of 4.1 out of 5 based on 43 votes.
 

  

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