Answered

Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

One number is 5 more than another. The difference between their squares is 75. What are the numbers?

Sagot :

absor201

Answer:

The numbers are:

  • -10 and -5

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:

  • -10 and -5
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.