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

Sagot :

Absor201idn

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
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