Fourty slips of paper numbered 1 to 40 are placed in a hat. Alice and Bob each draw one number from the hat without replacement, keeping their numbers hidden from each other. Alice says, I can't tell who has the larger number. Then Bob says, I know who has the larger number. Alice says, You do? Is your number prime? Bob replies, Yes. Alice says, $In that case, if I multiply your number by 100 and add my number, the result is a perfect square.$ What is the sum of the two numbers drawn from the hat?

**Answer Choices**

A. 27

B. 37

C. 47

D. 57

E. 67