## Solution to The Three Ladies

Good afternoon, dear friends.

Here it is the solution to the Tree Ladies puzzle. It wasn’t so complicate. Use Algebra, it is your friend not your enemy!

Three ladies have 30 fingers. The three lady were wearing 14 rings. Let x the number of rings that the second ladywas wearing. The first lady was wearing TWICE as many as other (the second for instance), 2x. The third lady was wearing y. So we have:

2x + x + y = 14, this 3x + y = 14.

The first postive solution is x =1 , but then the first is wearing 2 the send one and the third 14 -3= 11 , which is not possible because one was wearing more than the third.

So we try it with x = 2, then the first is wearing 4 = 2x the second 2 = x and the third 14 -6= 8 , which is not possible because one was wearing more than the third.

Now we try it with x = 3, then the first is wearing 6 = 2x the second 3 = x and the third 14 -9= 5 , which is possible because one was wearing more than the third.

Well done, Pope!

Doctor Watson