SOLUTION: the age of both lee and Sam is 50 years. in 5years time Sam will be 4 times the age of lee. find their ages

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: the age of both lee and Sam is 50 years. in 5years time Sam will be 4 times the age of lee. find their ages       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1184980: the age of both lee and Sam is 50 years. in 5years time Sam will be 4 times the age of lee. find their ages


Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.


            In my previous post,  I showed you a  MENTAL  solution without using equation.

            In this post,  I show an  Algebra solution.


Let x be the age of Lee.

Then the age of Sam is (50-x) years.



In 5 years they will be  (x+5) years old (Lee)  and  (50-x+5) = (55-x) years old (Sam).


According to the condition,


    4*(x+5) = 55 - x.


Simplify and find x

    4x + 20 = 55 - x

    4x + x = 55 - 20

      5x   =    35

       x   =    35/5 = 7.


ANSWER.  Lee is 7 years old now;  Sam is  50-7 = 43 years old now,.

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.



Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
-------------------------------------------------
the age of both lee and Sam is 50 years.
-------------------------------------------------

The meaning is that Lee's age is 50 and Sam's age is 50. If you really intend to say the SUM of their ages is 50, then you need to say this unmistakably.


-----------------------------------------------------------
In 5 years time Sam will be 4 times the age of lee.
-----------------------------------------------------------

Ages y and 50-y; y for Sam, 50-y for Lee.
y%2B5=4%2850-y%2B5%29
-
y%2B5=4%2855-y%29
y%2B5=220-4y
5y=215
y=43
-
50-y=50-43=7
-
-
===============================
Sam is 43 and Lee is 7.
===============================