Savannah is 24 years older than Ryan, while Sebastian is 5 times as old as Ryan.

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?

Answer 1

Hi Donte--

 

Your big clue here is that Savannah and Sebastian are twins--so they are the same age.

 

So Savannah's age-- "Ryan + 24"-- is the same as Sebastians, which is "Ryan times 5."

 

So r + 24 = 5r (that's the actual equation that answers the question above.)

 

And here's how to solve it:

 

Subtract an "r" from each side and you are left with

 

24 = 4r. Divide each side by 4 and you get

 

6 = r. Ryan is 6 years old.

 

Savannah is 6 + 24, which equals 30; and Sebastian is 6 x 5, which also equals 30--which makes sense because those 2 are twins (the same age).

 

Hope this helps!

 

Matt in New York