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Mission 55 (Posted on 2021-02-08) Difficulty: 3 of 5
Consider the number 12378945560
You are challenged to make this number divisible by 55 by replacing one or two of its digits by new ones in a way that the new number will be divisible by 55.
In how many ways can this task be performed?
List all the possible solutions.

No Solution Yet Submitted by Ady TZIDON    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
even pos- even pos sorted by positions Comment 6 of 6 |
(In reply to re: Harder solutions, full answer by Charlie)

 2  0  4  1  10318945560
 2  1  4  0  11308945560
 2  3  4  9  13398945560
 2  4  4  8  14388945560
 2  6  4  6  16368945560
 2  7  4  5  17358945560
 2  8  4  4  18348945560
 2  9  4  3  19338945560

 2  0  6  3  10378345560
 2  1  6  2  11378245560
 2  3  6  0  13378045560
 2  6  6  8  16378845560
 2  7  6  7  17378745560
 2  8  6  6  18378645560
 2  9  6  5  19378545560

 2  1  8  9  11378949560
 2  3  8  7  13378947560
 2  4  8  6  14378946560
 2  6  8  4  16378944560
 2  7  8  3  17378943560
 2  8  8  2  18378942560
 2  9  8  1  19378941560

 2  0 10  0  10378945500
 2  3 10  8  13378945580
 2  4 10  7  14378945570
 2  6 10  5  16378945550
 2  7 10  4  17378945540
 2  8 10  3  18378945530
 2  9 10  2  19378945520

 4  0  6  8  12308845560
 4  1  6  7  12318745560
 4  2  6  6  12328645560
 4  3  6  5  12338545560
 4  4  6  4  12348445560
 4  5  6  3  12358345560
 4  6  6  2  12368245560
 4  8  6  0  12388045560

 4  0  8  4  12308944560
 4  1  8  3  12318943560
 4  2  8  2  12328942560
 4  3  8  1  12338941560
 4  4  8  0  12348940560
 4  6  8  9  12368949560
 4  8  8  7  12388947560
 4  9  8  6  12398946560

 4  0 10  5  12308945550
 4  1 10  4  12318945540
 4  2 10  3  12328945530
 4  3 10  2  12338945520
 4  4 10  1  12348945510
 4  5 10  0  12358945500
 4  8 10  8  12388945580
 4  9 10  7  12398945570

 6  0  8  6  12378046560
 6  2  8  4  12378244560
 6  3  8  3  12378343560
 6  4  8  2  12378442560
 6  5  8  1  12378541560
 6  6  8  0  12378640560
 6  8  8  9  12378849560

 6  0 10  7  12378045570
 6  2 10  5  12378245550
 6  3 10  4  12378345540
 6  4 10  3  12378445530
 6  5 10  2  12378545520
 6  6 10  1  12378645510
 6  7 10  0  12378745500

 8  0 10  3  12378940530
 8  1 10  2  12378941520
 8  2 10  1  12378942510
 8  3 10  0  12378943500
 8  6 10  8  12378946580
 8  7 10  7  12378947570
 8  9 10  5  12378949550

Edited on February 8, 2021, 5:38 pm
  Posted by Charlie on 2021-02-08 11:59:26

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