SOLUTION: A 32 year old women realized that her age is twice the sum of her two children�s ages. Her son Jose is two years older than her daughter Sophia. How old are Sophia and Jose.

Question 1106354: A 32 year old women realized that her age is twice the sum of her two children�s ages. Her son Jose is two years older than her daughter Sophia. How old are Sophia and Jose.
Answer by ikleyn(52835) (Show Source): You can put this solution on YOUR website!
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From the condition, you havr these 2 equations

J + S = 16,    (1)     ("Her age is twice the sum of her two children ages";  16 = )
J - S  = 2     (2)     ("Her son Jose is two years older than her daughter Sophia.")


Add equations (1) and (2). You will get

2J = 16+2 = 18  ====>  J =  = 9.


Answer.  Jose is 9 years old.  Sofia is 9-2 = 7 years old.

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