Find two numbers whose difference is 5 and the difference of their square is 45

Question

(x)²-(5-x)²=45

Answer 1

Let x be the larger number and y = smaller number

 

Then, x - y = 5.  So, y = x - 5

 

x² - (x-5)² = 45

 

x² - (x² - 10x + 25) = 45

 

              10x - 25 = 45

 

                       10x = 70

 

                          x = 7 and y = x-5 = 2