SOLUTION: The 3-digit number is a perfect square less than 200. If the digits are reversed, the resulting number is also a perfect square. What is the number such that no digits are the same

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Question 106017: The 3-digit number is a perfect square less than 200. If the digits are reversed, the resulting number is also a perfect square. What is the number such that no digits are the same?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
3 digit number less than 200
100%3C=N%5E2%3C200
Let’s look at the possible perfect squares in this range
10%5E2=100
11%5E2=121
12%5E2=144
13%5E2=169
14%5E2=196
Let’s look at those squares with digits reversed
001 – Perfect square %281%5E2%29
121 – Perfect square %2811%5E2%29
441 – Perfect square %2821%5E2%29
961 - Perfect square %2831%5E2%29
691 – Not a perfect square
There are four matches 100, 121, 144, and 169 that work.
However you also mentioned that no two digits can be the same.
That leaves only 169 as the final answer.