SOLUTION: The sum of two number is 60 and their difference is 43. What is The difference of their squares?

Question 731026: The sum of two number is 60 and their difference is 43. What is The difference of their squares?
Answer by fcabanski(1391) (Show Source): You can put this solution on YOUR website!
Call the bigger number x and the smaller number y.

x+y = 60 and x-y = 43

From equation 1: x = 60-y. Substitute that into equation 2: 60-y-y = 43

60-2y = 43

17 = 2y

17/2 = y

x = 60-y = 60 - 17/2 = 120/2 - 17/2 = 103/2

The difference of the squares is

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