SOLUTION: A two-digit number. The first digit added to or multiplied by itself, or squared = the second digit. What is the number?

Question 269964: A two-digit number. The first digit added to or multiplied by itself, or squared = the second digit. What is the number?
Answer by dabanfield(803) (Show Source): You can put this solution on YOUR website!
A two-digit number. The first digit added to or multiplied by itself, or squared = the second digit. What is the number?
Let x be the tens digit and y the ones digit.
The number then is 10*x + 1*y
We are given that:
1.) 2x = y and
2.) x^2 = y
From above we have x^2 = x so
x^2 - x = 0
x*(x-1) = 0
Either x = 0 or x = 1.
If x = 0 then y = 2*0 = 0 also. In this case the number then is 10*0 + 1*0 = 0
If x = 1 then y = 2*1 = 2. In this case the number then is 10*1 + 1*2 = 12
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