Question

Savannah is 24 years older than Ryan, while Sebastian is 5 times as old as Ryan. If Savannah and Sebastian are twins, which equation may be used to determine the age of all three people?

A) 8x = 24
B) 24 + 2x = 5x
C) 24 + 5x = x
D) 24 + x = 5x

Answer 1

The correct answer is D) 24 + x = 5x

Explanation:

Since they are twins, we know they are the same age. Since Savannah is 24 years older than Ryan, we can model it as 24 + x, where x is Ryan's age.

Since Sebastian is five times as old as Ryan, we can model it as 5x.

Now, we can set them equal to each other.

24 + x = 5x