I can find two solutions. But both include a zero and the problem says 1-9

It doesn't say that all of a,b,c,d are distinct (i.e. not equal to each other). If 0 is allowed then a=b=c=d is a cheat solution.

B is the tens digit of at most 9x8 so it can be at most seven.

The last digit of D x C is equal to C. So D can only be one of:
3 ? in which case C = 5
6 ? in which case C = 4 OR C = 8
7 - in which case C = 5
9 - in which case C = 5

Just as an example take the first, so assume D = 3, C = 5 and we know B

Posted By: Old Man on January 10th 2016 at 13:38:53

Message Thread

Wrath knowledge needed! Struggling to help 10 yr old daughter with homework (General Chat) - South_West_Canary, Jan 10, 12:44:22
- So I brute forced it (General Chat) - Old Man, Jan 10, 14:07:48
  - FFS, parsing as HTML again. Hang on. (n/m) (General Chat) - Old Man, Jan 10, 14:08:36
    - OK. Here is the answer. (General Chat) - Old Man, Jan 10, 14:09:23
      - (so the question is ill-posed since as stated it has no solutions) (n/m) (General Chat) - Old Man, Jan 10, 14:19:20
        
        This seems to be the consensus from my research too (n/m) (General Chat) - CauldRon, Jan 10, 14:28:19
- FFS. It's parsing my less than sign as HTML. Try this. (General Chat) - Old Man, Jan 10, 13:41:32
  - I too have been working out on The last digit of D x C is equal to C.? (General Chat) - South_West_Canary, Jan 10, 13:47:28
    - Thought I was getting there with C is 8 and D 6 (General Chat) - South_West_Canary, Jan 10, 13:49:45
      - Honestly I think this has no solutions unless you allow zeroes (n/m) (General Chat) - Old Man, Jan 10, 13:50:50
        
        I'll let you know once teacher explains it to her! (n/m) (General Chat) - South_West_Canary, Jan 10, 13:53:18
  - (I've assumed a, b,c d all to be different, if they're not there are more cases... (General Chat) - Old Man, Jan 10, 13:46:03
- Damn thing is truncating my post. Hang on...got it (General Chat) - Old Man, Jan 10, 13:39:56
- I can find two solutions. But both include a zero and the problem says 1-9 (General Chat) - Old Man, Jan 10, 13:38:53
- I can find two solutions. But both include a zero and the problem says 1-9 (General Chat) - Old Man, Jan 10, 13:38:30
- 124 X 9 gives a four digit product on the right hand side 1116 (General Chat) - essexcanaryOTBC, Jan 10, 13:29:55
  - PS D can't be 9 because of the maximum rule earlier (General Chat) - essexcanaryOTBC, Jan 10, 13:30:48
    - sorry I meant B not D - was typing fast whilst in transit earlier - just noticed it (General Chat) - essexcanaryOTBC, Jan 10, 19:29:02
    - Need more than luck the way this is going! 😊 (n/m) (General Chat) - South_West_Canary, Jan 10, 13:48:12
- Max 999 X 9 gives 8991 so D < 9 etc (n/m) (General Chat) - essexcanaryOTBC, Jan 10, 13:25:53
  - Simarly it can't be 111 X 1 since B > 0 etc (n/m) (General Chat) - essexcanaryOTBC, Jan 10, 13:26:53
- Try working out constraints using maximums/minimums/ranges etc (General Chat) - essexcanaryOTBC, Jan 10, 13:24:33
- This may help... (General Chat) - Vivid Data Shark, Jan 10, 13:03:21
  - And this, about sideways arithmetic and cryptograms (General Chat) - essexcanaryOTBC, Jan 10, 13:22:18
- And in only 8 minutes = impressive dc ! (n/m) (General Chat) - Men without hats, Jan 10, 12:54:36
- Hang on, that includes a 0. Sorry. (n/m) (General Chat) - derbyshire canary, Jan 10, 12:53:53
  - It's doing my head in! (n/m) (General Chat) - South_West_Canary, Jan 10, 13:03:14
- A5, B1, C0, D3 works. By trial & error here. (n/m) (General Chat) - derbyshire canary, Jan 10, 12:52:49

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