SOLUTION: The sum of Jocelyn and Joseph's age is 40. In 5 years, Joseph will be twice as Jocelyn's present age. How old are they now?

Algebra.Com
Question 1177612: The sum of Jocelyn and Joseph's age is 40. In 5 years, Joseph will be twice as Jocelyn's present age. How old are they now?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
x Jocelyn
y Joseph

, ("twice as much as Jocelyn's present age")
You can continue from here and finish.

Answer by ikleyn(52784)   (Show Source): You can put this solution on YOUR website!
.


            Even do not try follow to the @josgarithmetic post,  since his equations are wrong.

            For your safety,  ignore the post by @josgarithmetic.

            I came to bring you the correct solution.


x Jocelyn
y Joseph


Equations (written correctly)

    x + y = 40,     (1)

    y + 5 = 2x      (2)


From equation (1), express y = 40-x  and plug it into the second equation

    40 - x + 5 = 2x.


You will get then

    45 = 2x + x

    45 = 3x

     x = 45/3 = 15.



ANSWER.  Jocelyn is 15 years old.  Joseph is  y = 40-x = 40-15 = 25 years old.

Solved.


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

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
in this site.

Read them 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

The sum of Jocelyn and Joseph's age is 40. In 5 years, Joseph will be twice as Jocelyn's (answered by mananth)
rap is three times as old as joseph and don is five more than twice as old as joseph. if... (answered by ewatrrr)
laura is 3 years older than twice joseph’s age. of laura is 27 years old how old is... (answered by josgarithmetic)
james is twice as old as joseph. three years from now joseph will be 14 years old. what... (answered by Alan3354)
Joseph is four years older than twice his sister's age. In four years' time he will be... (answered by josmiceli)
Judy age now is twice tom's age decreased by 10. In four years, the sum of Judy's age and (answered by josgarithmetic)
The sum of the present ages of Vatha and Chris is 36. In 4 years time, the sum of their... (answered by ankor@dixie-net.com)
The sum of Leilah’s age and Abdul’s age is 34 years. Five years ago, the sum of... (answered by josgarithmetic)
Rap is three times as old as joseph,and Don is five more than twice as old as Joseph. If... (answered by geo_freak)