210k views
8 votes
One number is 2 more than another. The difference between their squares is 24. What are the numbers?

User Gusten
by
3.6k points

1 Answer

8 votes

Answer:

5 and 7

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

User Adam Martin
by
4.0k points