SOLUTION: Rose is two third as old as Johnny. In 5 years, the sum of their ages will be 50 years. Find their present age.

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Question 1110900: Rose is two third as old as Johnny. In 5 years, the sum of their ages will be 50 years. Find their present age.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39615)   (Show Source): You can put this solution on YOUR website!
r and j, Rose and Johnny

First part means but this can also be written as .

Next part means which can be expressed as .


CONTINUE FROM THERE!
CONTINUE!!!
Answer by ikleyn(52767)   (Show Source): You can put this solution on YOUR website!
.
The problem says

R =                   (1)   ("Rose is two third as old as Johnny.")

(R +5) + (J +5) = 50.      (2)    ("In 5 years, the sum of their ages will be 50 years.")



Simplify (2)

R + J = 50 -5 - 5,   or   R + J = 40   (3)



Now substitute (1) into equation (3).  You will get

 = 40.



Multiply by 3 both sides:

2J + 3J = 120  ====>  5J = 120  ====>  J =  = 24.



Answer.  Johnny is 24 years old.  Rose is   = 16 years old.

Solved.

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There is a bunch of lessons on age word problems
    - Age problems and their solutions
    - A fresh formulation of a traditional age problem
    - Really intricate age word problem
    - Selected age word problems from the archive
    - Age problems for mental solution
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.


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