magic cryptarithm

 VV  RE  HR
 AH  VE  RL
 RV  HE  VR
 
 This is a magic square with magic constant HEH. 
 If you order the letters according there values you get the hidden word.



Solution:
The magic constant is 3 times the central value.
Proof: Let s be the constant.
 a b c
 d e f
 g h i
s = a+e+i = g+e+c = d+e+f = b+e+h.
Adding these four sums gives
4s = a+b+c+d+e+f+g+h+i + 3e
Further we have for the three rows
s = a+b+c = d+e+f = g+h+i
Subtracting these three sums gives s = 3e.
This gives the key equation
 HEH = 3 * VE
Now H can be at most two. 
As H == 3*E (mod 10) we have only two cases to try.
 
 H  E  V  R
 1  7  5  9
 2  4  -

The rest is easily filled in.


 55 97 19
 21 57 93
 95 17 59

 magic constant = 171

  123579
  HALVER

References:

  Praxis der Mathematik 39:4 (1997) 153