SOLUTION: what is the age of my daughter? My daughter is twice as old as my son. My wife is three times as old as the sum of the ages of my son and daughter, and I am as old as my wife and

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Question 410538: what is the age of my daughter?
My daughter is twice as old as my son. My wife is three times as old as the sum of the ages of my son and daughter, and I am as old as my wife and my daughter. My mother whose age is the total of all our ages is now 69.
Answer by Adrish(44) About Me  (Show Source):
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SOLUTIONS: Let my son's age is "x"
Given: Daughter's age: 2x
Wife age:3(x+2x)
My age:{3(x+2x)+2x)
Therefore the equation is
x+2x+3(x+2x)+{3(x+2x)+2x}=69
23x= 69
x=69/23
x=3
Therefore daughter's age is 2x=2x3=6