Problema Solution
The difference between 2 numbers is 12 and the product of the numbers is 50. Find the sum of the squares of the numbers.
Answer provided by our tutors
Let x = the larger number, y = the smaller number
x-y=12
xy=50
(x-y)^2 = x^2 - 2xy + y^2
144 = x^2 - 2(50) + y^2
144 = x^2 - 100 + y^2
x^2 + y^2 = 244