SOLUTION: Evan is 6 years old. His sister is 15 years old. How old will they both be when Evan is half as old as his sister?

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Question 1156288: Evan is 6 years old. His sister is 15 years old.
How old will they both be when Evan is half as old as his sister?
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


(1) What is the difference in their ages?

(2) What will their ages be when Evan is half as old as his sister?

If you need a formal algebraic solution, re-post the question and say you want to see a formal algebraic solution.
Answer by ikleyn(52802)   (Show Source): You can put this solution on YOUR website!
.

            ALgebra solution 


Let x = how many years to get the condition under the question.


Then at that time, Evan will be 6+x years old; His sister will be 15+x years old.


The condition is

    2*(6+x) = 15+x.


Simplify and solve

    12 + 2x = 15 + x

    2x - x = 15 - 12

     x     = 3.


The problem is just solved.


It will happen in 3 years.


Evan will be 6+3 = 9 years old;  his suster will be  15+3 = 18 years old.   ANSWER

Solved.

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There is a bunch of lessons on age word problems
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    - Miscellaneous age problems
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Read them and become an expert in solving age problems.

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


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