SOLUTION: Sara is 3 years older than Fiona. Paul is 3 years younger than Fiona. If the total of their ages is 60, how old is the youngest of them?

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Question 1122914: Sara is 3 years older than Fiona. Paul is 3 years younger than Fiona. If the total of their ages is 60, how old is the youngest of them?
Found 3 solutions by solver91311, ikleyn, MathLover1:
Answer by solver91311(24713) About Me  (Show Source):
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If P is 3 years younger than F, and F is 3 years younger than S, and we let represent the age of P, then F's age is and S's age is . And we know that:



Just solve for . You should also calculate and then add all three ages to check your solution.


John

My calculator said it, I believe it, that settles it

Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.
Paul is the youngest.


Paul + Fiona + Sara      = 60

P    + (P+3) + ((P+3)+3) = 60

3P + 9 = 60


3P = 60 - 9 = 51  ====>  P = 51/3 = 17.


Answer.  Paul is 17 years old.

Solved.


Answer by MathLover1(20849) About Me  (Show Source):
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let’s Sara’s age be s, Fiona’s age f, and Paul’s age p
given:
Sara is 3 years older than Fiona, =>s=f%2B3....eq.1
Paul is 3 years younger than Fiona, =>p=f-3....eq.2
the total of their ages is 60,=>s%2Bf%2Bp=60....eq.3
substitute s and p from eq.1 and eq.2 into eq.3
f%2B3%2Bf%2Bf-3=60
3f=60
f=60%2F3
f=20->Fiona is 20 years old
go to
s=f%2B3....eq.1..substitute f
s=20%2B3
s=23-> Sara is 23 years old
go to
p=f-3 ....eq.2..substitute f
p=20-3
p=17 ->Paul is 17 years old

so, the youngest of them is 17 years old