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please tomorrow exam - John is twice as old as his friend Peter. Peter is 5 years older than Alice. In 5 years, John will be three times as old as Alice. How old is Peter now?

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jasdul1375

Answer:

Peter is 20 now

Step-by-step explanation:

Now                                                                                  

P = A +5  and J = 2P

plug in P in J = 2P = 2(A+5) =2A +10                                    

In 5 years

J+5 = 3A

2A+10+5 = 3A

2A + 15 = 3A subtract 2A from each side

A = 15 so Alice is 15 now

P = A+5 =15+5= 20 so Peter is 20 now

Let's check :

P=20 J=40 A=15

in 5 years J = 45 A =3*15=45

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