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

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) (Show Source): You can put this solution on YOUR website!
3 digit number less than 200

Let�s look at the possible perfect squares in this range

Let�s look at those squares with digits reversed
001 � Perfect square
121 � Perfect square
441 � Perfect square
961 - Perfect square
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.

RELATED QUESTIONS
the value of a certain two digit number is four less than six times the sum of its... (answered by I<3Math123)

The units digit of a two-digit number is 40% of the tens digit. If the digits are... (answered by scott8148)

A three-digit number is such that the sum of the digits is 12. If the digits are... (answered by ankor@dixie-net.com,josgarithmetic)

the unit's digit of a two digit number is twice the tens digit. if the digits of the... (answered by Stitch)

The sum of the digits of a two-digit number is 13. If the digits are reversed, the... (answered by solver91311)

The sum of the digits of a two- digit number is 14. If the digits are reversed, the... (answered by josgarithmetic)

When the digits of a two digit number are reversed, the resulting number is 54 less than... (answered by josgarithmetic,MathTherapy,ikleyn)

A two digit number has different digits. If the difference between the square of the... (answered by drk,Edwin McCravy)

in a two-digit positive number, the square of the digit in the tens digit is 2 less than... (answered by josgarithmetic)