Math CentralQuandaries & Queries


Question from Tolulope:

Caleb age and Juliet age add up to 25 years. eight years ago,Caleb was twice as old as Juliet. how old are they now.

I am going to use one letter, $C$ to stand for Caleb's age today and another letter, $J$ to stand for Juliet's age today. Sine the sum of their ages is 25 years you know that

\[C + J = 25.\]

This is the first equation.

What was Caleb's age 8 years ago? What was Juliet's age 8 years ago? At this time Caleb's age was twice Juliet's age. This gives you a second equation.

Solve the two equations for $C$ and $J.$

Make sure you verify your answer,

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