Question 1151139
.
Dyke is 27 years {{{highlight(cross(old))}}} <U>older</U> than his daughter. 
In 10 years he will be twice as old as his daughter. How old they are now?
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<pre>
Let x be the daughter's age.

Then his father's age is (x+27) years.


In 10 years,


    the daughter's age will be (x+10) years, while

    the father's age will be (x+27+10) = (x+37) years.


You are given

    x+37 = 2*(x+10).


It is your basic equation.

As soon as you got it, you just solved the problem in half.


To solve it COMPLETELY, simplify your equation step by step


    x + 37 = 2x + 20

    37 - 20 = 2x - x

    17      = x.


<U>ANSWER</U>.  The daughter is 17 years old.  The father is 27 years older, i.e. 17+27 = 44 years old.
</pre>

Solved.


Now &nbsp;<U>YOU</U> &nbsp;check it &nbsp;<U>ON &nbsp;YOUR &nbsp;OWN</U> &nbsp;that all conditions of the problem are satisfied.


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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 problems</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, &nbsp;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.