Question 1103354
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<pre>
In Math terms, the condition says THIS:

R = Y + 5                      (1)     ("Rover was 5 years older than Yolanda.")
4*(R + 10) = 2*(Y+10) + 50.    (2)     ("In 10 years . . .  4 times his age exceeds twice Yolanda's age by only 50.")


Simplify (2):

4R + 40 = 2Y + 20 + 50,

4R = 2Y + 70 - 40

4R = 2Y + 30.                  (3)


Next, substitute (1) into eq(3). You will get

4*(Y+5) = 2Y + 30,   or

4Y + 20 = 2Y + 30,

2Y = 30 - 20 = 10  ====>  Y = {{{10/2}}} = 5.


Then  from (1)  R = Y + 5 = 5+5 = 10.


<U>Answer</U>.  At the beginning, R was 10 years old;  Y was 5 years old.
</pre>

Solved.


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There is a bunch of lessons on age word problems 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/age/Age-problems-and-their-solutions.lesson>Age problems and their solutions</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/age/Fresh-formulation-of-a-traditional-age-problem.lesson>A fresh formulation of a traditional age problem</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/age/Really-intricate-age-word-problem.lesson>Really intricate age word problem</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/age/Selected-age-word-problems-from-the-archive.lesson>Selected age word problems from the archive</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/age/Age-problems-for-mental-solution.lesson>Age problems for mental solution</A> 

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

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.


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



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.