SOLUTION: John is 12, Peter is 3. How many years will it take for John to be 3 times as old as Peter?

Question 1186058: John is 12, Peter is 3. How many years will it take for John to be 3 times as old as
Peter?
Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
.


In x years.


In x years, John will be 12+x years old;  Peter will be 3+x years old.


John will be 3 times as old as Peter:


    12 + x = 3*(3 + x).


Simplify and find x


    12 + x = 9 + 3x

    12 - 9 = 3x - x

       3   = 2x

       x    = 3/2 years.


When the age problem has no solution in integer numbers, it is TRADITIONALLY considered as DEFECTIVE.

Alas (!)

-------------------

There is a bunch of lessons on age word problems
    - Age problems and their solutions
    - HOW TO algebreze and to solve age problems?
    - A fresh formulation of a traditional age problem
    - Really intricate age word problems
    - Selected age word problems from the archive
    - Age problems for mental solution
    - Age problem for three participants
    - Miscellaneous age problems
    - Entertainment age problems
in this site.

Read them, have fun and become an expert in solving age problems.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Age word problems".

Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.

RELATED QUESTIONS
peter is now 12 years old and john is 3 years old. in how many years will peter be twice... (answered by Alan3354)

Peter is now 12 years old and John is 3 years old. In how many years will Peter be twice... (answered by mananth,Alan3354)

peter is 1/4 as old as john. in 5 years time, peter will be 1/3 as old as john. how old... (answered by ankor@dixie-net.com)

john is twice as old as peter. peter is 5 years older than alice. in 5 years john will be (answered by ankor@dixie-net.com)

John is twice as old as his friend Peter. Peter is 5 years older than Alice. In 5 years,... (answered by dpaulin,dmf30633)

John is twice as old as his friend Peter. Peter is five years older than Alice. In five... (answered by josmiceli)

John is twice as old as his friend Peter. Peter is 5 years older than Alice. In 5 years,... (answered by Maths68,japcaranza)

. Mary is 8 years old; Peter is 10. In 4 years' time John will be as old as Mary and... (answered by josgarithmetic)

Can you please help me solve this problems: 1.) Erwin is 5 times older than john and... (answered by mangopeeler07)