SOLUTION: The difference between two numbers is 2. Their product is 84 greater than the square of the smaller number. The sum of the number is

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Question 1017085: The difference between two numbers is 2. Their product is 84 greater than the square of the smaller number.
The sum of the number is

Answer by amarjeeth123(570)   (Show Source): You can put this solution on YOUR website!
Let the two numbers be x and x+2.
x(x+2)=84+x^2
2x+x^2=84+x^2
x=42
The numbers are 42 and 44.
The sum of the numbers is 86.
Verification
Square of the smaller number 1764.
Their product is 1848.
This is 84 greater than 1764.

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