Replace the letters

Puzzle Question:

Replace the letters with the correct numbers.
T W O
X T W O
---------
T H R E E

Answer --

Solution of Puzzle:

T=1, W=3, O=8, H=9, R=2, E=4
1 3 8
x 1 3 8
------------
1 9 0 4 4
You can reduce the number of trials. T must be 1 as there is multiplication of T with T in hundred's position. Also, O can not be 0 or 1. Now, you have to find three digit number whose square satisfies above conditions and square of that has same last two digits. Hence, it must be between 102 and 139.

Toughness:

Intermediate