SOLUTION: Western State College is 18 years older than Southern State. Western is also 2 1/2 times as old as Southern State. How old is eac?

Question 145324: Western State College is 18 years older than Southern State. Western is also 2 1/2 times as old as Southern State. How old is eac?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Write an equation for each statement:
:
"Western State College is 18 years older than Southern State."
w = s + 18
:
"Western is also 2 1/2 times as old as Southern State."
w = 2.5s
:
How old is each?
:
Substitute (s+18) for w in the 2nd equation, find s:
s + 18 = 2.5s
:
18 = 2.5s - s
:
18 = 1.5s
s =
s = 12 yr is S.States age
then
2.5(12) = 30 yrs is W's age

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