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Same digits II (Posted on 2022-06-17) Difficulty: 2 of 5
Choose two distinct non-zero digits. Evaluate the sum of the product and the s.o.d. of the pair.

What is the probability that the result is the concatenation of the initially selected digits?

Example: if the digits were 4,7 the resulting 4*7+7+4=39, not the case you were after, i.e. 47 or 74

See The Solution Submitted by Ady TZIDON    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Solution | Comment 2 of 3 |
(In reply to Solution by Larry)

Choose the two digit number concatenated as ab.  Which is actually 10a+b.  Then we have


10a+b=ab+a+b
10a=ab+a (one solution is a=0.  If a<>0 then)
10=b+1
9=b

and all of your results follow.

  Posted by Jer on 2022-06-17 09:46:16
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