Peter is 5 years old
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Set up a system of equations based on the given information.
Let's let P represent Peter's age, S for Sally's age, and J for John's age.
According to the problem, John is twice as old as Peter, so we have J = 2P.
Next, Peter is 5 years older than Sally, which gives us P = S + 5.
Finally, in 5 years, John will be three times as old as Sally. This leads to the equation J + 5 = 3(S + 5).
Now, let's solve these equations step by step.
Substitute the first equation into the third equation:
Substitute P from the second equation for S = P -5:
Simplify and solve for P:
which gives us
Therefore, Peter is currently 5 years old.