Answer:
The numbers are:
Step-by-step explanation:
Let the first number = n
As one number is 5 more than another. So,
The another number = n + 5
Given that the difference between their squares is 75, so
n² - (n + 5)² = 75
n² - (n² + 10n + 25) = 75
n² - n² - 10n - 25 = 75
0 - 10n = 75 + 25
-10n = 100
divide boths sides by -10
-10n/-10 = 100/-10
n = -10
Thus,
The first number = n = -10
The other numebr = n + 5 = -10 + 5 = -5
Therefore, the numbers are:
