Question

If the sum of two mumbers is 6 and their differenceis 4, what is the difference of their squares?

Answer 1

24

Explanation:

Let the first number be x and the second number be y.

Sum = 6

x + y = 6

x = 6 - y

Difference = 4

x - y = 4

x = 4 + y

You need to solve these two equations now.

x = x

6 - y = 4 + y

6 - 4 = y + y

2y = 2

y = 1

x = 6 - y = 6 - 1 = 5

x = 5 and y = 1

Difference of their square = x² - y² = 5² - 1² = 25 - 1 = 24