What word represents 3651?

Puzzle Question:

S L I D E
- D E A N
---------
3 6 5 1
Each of seven digits from 0-9 are represented by a different letter above such that the subtraction is true.
What word represents 3651?

Answer --

Solution of Puzzle:

3651 represents LENS.
Let's assign possible values to each letter and then use trial-n-error.
S must be 1.
Then D (under L) must be greater than 5. If D is 6, then L is 0. But then A must be 0 or 1 which is impossible. Hence, the possible values of D are 7, 8 or 9.
N must be E + 1. Also, D must be A + 5 as the possible values of D are 7, 8 or 9, D can not be (10+A) + 5.
Now using trial-n-error, we get S=1, I=2, L=3, A=4, N=5, E=6 and D=9
S L I D E 1 3 2 9 6
- D E A N - 9 6 4 5
-------------- --------------
3 6 5 1 L E N S
Hence, 3651 represents LENS.

Toughness:

Intermediate