john is twice as old as his friend peter.peter is 5 years older than alice. in 5 years. john will be 3 times as old as alice. how old is peter now?
john is twice as old as his friend peter.peter is 5 years older than alice. In 5 years, john will be 3 times as old as alice. how old is peter now?
J=2P
P=A+5
J+5=3(A+5)
Find P
J=2P=2(A+5)
so
2(A+5) +5=3(A+5)
5=A+5
A=0
P=5
J=10
check
john is twice as old as Peter. True
Peter is 5 years older than Alice True
In 5 years john will be 15 and Alice will be 5. John will be 3 times older. True
Peter is 5 now.
I got the same answer as Melody, then I wondered about the wording of the question when I found Alice = 0.
So I wondered if it was SUPPOSED to say THIS:
john is twice as old as his friend peter.peter is 5 years older than alice. in 5 years. john will be 3 times as old as alice is NOW. how old is peter now?
J=2P (1)
P=A+5 (2)
J+5=3A (3)
1 in to 3 2P +5 = 3A Then sub 2 into the equation
2(A+5) +5 = 3A
2A + 15 = 3A
15 = A
Then P = A+5 = 20 and J = 2P=40 This is NOT what the question asked....this is the question I posted above....
Let Alice's age = A
Let Peter's age = A + 5
Let John's age = 2(A + 5)
And we know that
Jonh's Age + 5 years = 3times Alice's age .....so.....
2(A + 5) + 5 = 3A
2A + 15 = 3A
15 = A = Alice's age
Peter = A + 5 = 20
John is 2(20) = 40
And in 5 years.....John will be 3 times Alice's age