harlan409 harlan409
  • 10-07-2022
  • Mathematics
contestada

One number is 2 more than another. The difference between their squares is 24. What are the numbers?

Respuesta :

suspho9
suspho9 suspho9
  • 10-07-2022

Answer:

5 and 7

Step-by-step explanation:

One number is 2 more than another. The difference between their squares is 24. What are the numbers?

(x + 2)² - x² = 24

x² + 4x + 4 - x² = 24

4x + 4 = 24

4x = 20

x = 20 : 4

x = 5

----------------------

5 + 2 = 7

check

(5 + 2)² - 5² = 24

49 - 25 = 24

24 = 24

the answer is good

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