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) About Me  (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.