The sum of 2 numbers is 14 and the sum of their squares is 148, how do you find the numbers?
2 and 12
Use a systems of equations to solve easily:
Assuming x represents the first number and y the second...
x + y = 14
y = 14 - x
2x(x - 2) - 24(x - 2) = 0
(2x - 24)(x - 2) = 0
x = 12 and 2
So, the two numbers are 12 and 2. If you check them back in the equation for x and y you'll see that they work.
Here is a practice problem:
The sum of two numbers is 19 and the sum of their squares is 205. Find the numbers by writing and solving a system of equations.
Hopefully you understand now