SOLUTION: I am half the age of my older brother who is two years older than my sister. My sister is four years older than me. How old am I ?

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Question 1112847: I am half the age of my older brother who is two years older than my sister. My sister is four years older than me. How old am I ?
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
I am x years old;  my brother is 2x years old;  my sister is 2x - 2 years old and 

    the last statement of the condition says 


x = (2x-2) -4    ("My sister is four years older than me.").


x = 2x - 6  ====>  x = 6.


Answer.  I am 6 years old.

         The brother is 12 years old.

         The sister is 10 years old.


         Everything is consistent with the condition.

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.


Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


Your sister is 4 years older than you; your older brother is 2 years older than your sister. That makes your older brother 6 years older than you.

If you are 6 years younger than your older brother and half his age, then you are 6 and he is 12.

Answer: You are 6 years old.

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