One number is two more than another the difference between their squares is 44 what are the numbers

Answer 1

Hi Alice,

Let's use the variable , x to represent one of the two numbers. Then the second number will be represented by: (x + 2)

Next we can show the difference (subtraction) of their two squares as:

(x + 2)²- x ² =44

Recall that (x + 2)² is equivalent to x² + 4x + 4.

Now solve for x :

(x + 2)² - x² =44

(x² + 4x + 4) - x² = 44

4x + 4 = 44

4x = 40

x = 10

One number is 10

The other will be :

x+ 2 = 10 + 2 = 12

The other number will be 12