SOLUTION: [1st constraint] The unit digit of a 2-digit number is greater than the ten digit by 3. [2nd constraint] If the difference of the squares of digits is smaller than the 2-digit numb

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Question 909151: [1st constraint] The unit digit of a 2-digit number is greater than the ten digit by 3. [2nd constraint] If the difference of the squares of digits is smaller than the 2-digit number by 12. find the possible number(s)
Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
Easiest way for me is estimation.
Possibles (because of the first constraint) are 14,25,36,47,58,69
Let's start with one in the middle: 36
3%5E3=9; 6%5E2=36; difference of 25 and 36 =11
2%5E2=4; 5%5E5=25; difference of 21 and 25 = 4
1%5E2=1; 4%5E2=16; difference of 15 and 14 = 1
Hmmm...
6%5E2=36;9%5E2=81; difference of 45 and 69 = 24
5%5E2=25; 8%5E2=64; difference of 39 and 58 = 19
4%5E4=16; 7%5E2=49; difference of 33 and 47 = 14
Unless I've miscalculated somewhere, there is no solution where the difference ends up to be 12.