This is an example of number problems. We have to translate the word problem into algebraic expressions.
Let x = the first number
16 - x = the second number
The sum of two the square of each number is 146 can be written as this
Let's solve for x
(x - 11)(x - 5) = 0
x - 11 = 0 x - 5 = 0
x = 11 x = 5
Therefore, the two numbers are 11 & 5.