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Digital computing (Posted on 2019-08-03) Difficulty: 3 of 5
I added two three-digit numbers a and b, where the six digits I used to write a and b were all different. a + b was another three-digit number. I added the digits in a and b to obtain another number n.

What can you say about n?

No Solution Yet Submitted by Danish Ahmed Khan    
Rating: 4.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: computer solution--I think what's wanted | Comment 3 of 31 |
(In reply to computer solution--I think what's wanted by Charlie)

Huh?  That does not make sense to me.  


I agree that the minimum n is 15, because the 6 digits in a and b could be 0 1 2 3 4 5.

And the maximum cannot be 4 + 5 + 6 + 7 + 8 +9 = 39, 
because a + b cannot be a three digit number.

But I see no reason that the maximum can't be 3+5+6+7+8+9 = 38.

So I think n is between 15 and 38, inclusive.

For instance, a and b could be 367 and 589.

  Posted by Steve Herman on 2020-03-15 12:31:31
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