SOLUTION: Fred is 3 years more than twice as old as Jan. The sum of their ages is 48. How old is each? Using Systems of Substitution and Elimination.

Question 1205732: Fred is 3 years more than twice as old as Jan. The sum of their ages is 48. How old is each?
Using Systems of Substitution and Elimination.
Found 3 solutions by MathLover1, josgarithmetic, ikleyn:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

let Fred’s age be and Jan’s age
if Fred is years more than twice as old as Jan, we have
.....eq.1
if the sum of their ages is , we have
....eq.2

system to solve is:
.....eq.1
....eq.2
------------------subtract eq.2 from eq.1 to eliminate variable

go to eq.1, substitute
.....eq.1

How old is each?
Fred is years old and Jan is years old.

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
j, Jan's age
2j+3, Fred's age

.

------and use this to evaluate Fred's age.
Answer by ikleyn(52777)   (Show Source): You can put this solution on YOUR website!
.

Similar to as a drop of nicotine can kill a horse,
wording of this post can kill a reader.

A normal English wording could be THIS

Fred's age is 3 years more than twice Jan's age.

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