## 3.2: Numbers Upon Numbers

Back to hunt | Back to puzzle set
Strangers kept surrounding Dorothy, mumbling cryptic strings of numbers...

"I'll see you in ten-two-fifty for five-eleven at one?"

"No, I have to drop by two-one-oh-eight by two to drop eighteen-one-hundred."

"Meet you in six-one-twenty for eight-oh-one-two, then?"

"In five. In six-one-twenty."

Below is a list of clues describing twenty-five strictly increasing three-digit numbers, between 001 and 999, inclusive. You will be able to place each number in the grid below based on its digits; although it might not be exactly clear in the middle, by the end there will be no ambiguities or empty cells. As an example, W has been placed for you.
```     A: One-third of I
B: Just some number
C: A prime number
D: The average of A, B, and M
E: The sum of A and X, less T
F: Another prime number
G: The difference of Q and D
H: The average of C, K, and M
I: Thrice A
J: The average of D and O
K: The average of B and T
L: The average of A and V
M: The average of F and P
N: Twice D
O: The sum of D and E
P: Another pesky number
Q: A square number
R: Yet another prime number
S: The average of H and X
T: The sum of F and G
U: The sum of C and N
V: The sum of F and K
W: Six hundred fifty-six
X: The sum of B, E, and I
Y: The sum of A, G, and L
```
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