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March 15th, 2016, 11:34 AM  #1 
Senior Member Joined: Feb 2016 From: seattle Posts: 377 Thanks: 10  These just can't be less confusing huh?
I thank those helping me with these word problems. I just can't seem to get them locked down in my memory. hoping the formula is not the same for all my last ones, as they don't seem like it? Pat is 17 years older than his son Patrick. In 6 years Pat will be twice as old as Patrick. How old are they now? I try to read this but I get x+17+6 but even if this is a start I then get lost. 
March 15th, 2016, 11:48 AM  #2 
Senior Member Joined: Dec 2012 From: Hong Kong Posts: 853 Thanks: 311 Math Focus: Stochastic processes, statistical inference, data mining, computational linguistics 
Let Pat's present age be x and Patrick's present age be y. Then Pat's age in six years is x + 6, and Patrick's age in six years is y + 6. x = y + 17 (x + 6) = 2 * (y + 6) Last edited by skipjack; March 16th, 2016 at 06:37 AM. 
March 16th, 2016, 05:57 AM  #3  
Math Team Joined: Jan 2015 From: Alabama Posts: 3,261 Thanks: 896  Quote:
 
March 16th, 2016, 06:47 AM  #4  
Global Moderator Joined: Dec 2006 Posts: 20,274 Thanks: 1959  Quote:
Hence Pat is currently 28 years old and Patrick is currently 11 years old.  
March 16th, 2016, 02:00 PM  #5  
Senior Member Joined: Feb 2016 From: seattle Posts: 377 Thanks: 10  Quote:
I just think the Names and all the info is overloading my brain, that it then just shuts down.  
March 16th, 2016, 08:02 PM  #6  
Senior Member Joined: Jul 2014 From: भारत Posts: 1,178 Thanks: 230  Quote:
Quote:
Let us assume Patrick's present age to be "a" years. Pat is 17 years older than Patrick, which means Pat's present age is "a+17" years. After six years, both will grow 6 years older (obviously). Patrick is "a" years old now. So, after 6 years, Patrick's age will be "6 + a" years. Pat is "a + 17" years old now. So, after 6 years, Pat's age will be "6 + (a+17)" years. Quote:
So, 2×(6+a) = (6+a+17) Solving for "a", we get "a = 11" So, Patrick's age is 11 years. Pat's age is "a+17" years and "a" is 11, so Pat's age is 11 + 17 = 28 years. I hope that your brain will not overload and shut down any more.  
March 17th, 2016, 10:23 AM  #7  
Senior Member Joined: Feb 2016 From: seattle Posts: 377 Thanks: 10  Quote:
 

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