SOLUTION: The sum of two numbers is 12. The difference between the square of the larger number and the square of the smaller number is 24. Find these two numbers.

Question 624581: The sum of two numbers is 12. The difference between the square of the larger number and the square of the smaller number is 24. Find these two numbers.
Answer by oscargut(2103) (Show Source): You can put this solution on YOUR website!
The sum of two numbers is 12. The difference between the square of the larger number and the square of the smaller number is 24. Find these two numbers.
Let x and y those numbers
x+y=12 (1)
x^2-y^2 = 24 (2)
From (2) (x-y)(x+y)=24
Then: (x-y)12=24
x-y = 2 (3)
Adding (1)+(3)
2x = 14
x = 7
Using (1) 7+y=12
y = 5
Answer: x = 7, y = 5
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