Puzzle 97 - Solution

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 Puzzle 97 was to solve for A and B

AB+AB+AB = 19B

Solution:

Now if we look at unit's position,

B+B+B = 10+B  or it can be B+B+B = 20+B

But second part is not possible because if 3B=20+B, 2B=20, which makes B as 10. As A and B are single digit numbers, B can't be 10.

So now we have in unit's place.  

3B = 10+B
2B = 10
B = 5
 
And after we carry 1 to ten's place, we get 
3A+1=19 
3A = 18
A = 6

So A is 6 and B is 5


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