SOLUTION: Paul is twice as old as Sarah. Rob is fourteen years older than Sarah's age. If Rob's age is 10 more than Paul's age, how old is Sarah?
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Question 784735: Paul is twice as old as Sarah. Rob is fourteen years older than Sarah's age. If Rob's age is 10 more than Paul's age, how old is Sarah?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Paul is twice as old as Sarah. Rob is fourteen years older than Sarah's age. If Rob's age is 10 more than Paul's age, how old is Sarah?
--------
Equations:
p = 2s
r = s+14
r = p+10
---------
s = r-14
Substitute for "r":
--------------------------
s = (p+10)-14 = p-4
Substitue for "p":
----
s = 2s-4
Solve for "s":
====================
s = 4 yrs (Sarah's age now)
=====================
Cheers,
Stan H.
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