Respuesta :

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:

  • 2P + 5 = 3(S + 5)

Substitute P from the second equation for S = P -5:

  • 2P + 5 = 3(P - 5 + 5)

Simplify and solve for P:

  • 2P + 5 = 3P,

which gives us

  • P = 5

Therefore, Peter is currently 5 years old.