SOLUTION: fred is 2 years older than his brother. 12 years ago fred was twice his brothers age how old are both of them now

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Question 1132727: fred is 2 years older than his brother. 12 years ago fred was twice his brothers age how old are both of them now
Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
fred is 2 years older than his brother.
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Hint: Fred is always 2 years older.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let’s red’s age be x and his brother’s age y
if Fred is 2+years older than his brother, we have
x=y%2B2....eq.1

if 12+years ago Fred was twice his brothers age, we have
x-12=2%28y-12%29....eq.2
substitute x from eq.1 in eq.2
y%2B2-12=2%28y-12%29...solve for y
y-10=2y-24
24-10=2y-y
y=14
go back to x=y%2B2....eq.1, substitute y and solve for x
x=14%2B2
x=16
so, Fred is 16+ and his brother is 14 years old now