She wants to say, "6."
The series of numbers she will say is 6, 17, 28, 39, 50.
Since she wants to say 50, she needs Henry to say a number between 40 and 49. Therefore, she wants to say 39.
Knowing she wants to say 39, she needs Henry to say a number between 29 and 38. So she wants to say 28. Following this same logic recursively, she will want to say 17, and she will want to say 6 to start the game, and be assured victory.
The series of numbers she will say is 6, 17, 28, 39, 50.
Since she wants to say 50, she needs Henry to say a number between 40 and 49. Therefore, she wants to say 39.
Knowing she wants to say 39, she needs Henry to say a number between 29 and 38. So she wants to say 28. Following this same logic recursively, she will want to say 17, and she will want to say 6 to start the game, and be assured victory.
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