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March 15th, 2016, 10:34 AM   #1
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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.
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March 15th, 2016, 10:48 AM   #2
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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 05:37 AM.
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March 16th, 2016, 04:57 AM   #3
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Quote:
Originally Posted by GIjoefan1976 View Post
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.
Okay, how do you get "x+ 17+ 6"? Is that supposed to be equal to something? What is "x" supposed to mean? What is your reasoning here?
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March 16th, 2016, 05:47 AM   #4
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Quote:
Originally Posted by GIjoefan1976 View Post
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?
Six years from now, Pat will still be 17 years older than Patrick, but will then be twice as old as Patrick, so Pat will then be 34 years old and Patrick will then be 17 years old.

Hence Pat is currently 28 years old and Patrick is currently 11 years old.
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March 16th, 2016, 01:00 PM   #5
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Okay, how do you get "x+ 17+ 6"? Is that supposed to be equal to something? What is "x" supposed to mean? What is your reasoning here?
Hi I was thinking that x could represent the age Patrick is then 17 is the amount he is more than his son age that is x then 6 is the years older pat will be.


I just think the Names and all the info is overloading my brain, that it then just shuts down.
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March 16th, 2016, 07:02 PM   #6
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Quote:
Originally Posted by GIjoefan1976 View Post
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?
Just to explain step by step:

Quote:
Pat is 17 years elder than his son Patrick
This means that if we assume Patrick's age to be "a" years, then Pat's age is "a + 17" years. But if we assume Pat's age to be "a" years, then Patrick's age is "a - 17" years.

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:
In 6 years, Pat will be twice as old as Patrick.
This means after 6 years, multiplying Patrick's age by 2 will give us Pat's age.

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.
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March 17th, 2016, 09:23 AM   #7
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Originally Posted by Prakhar View Post
Just to explain step by step:



This means that if we assume Patrick's age to be "a" years, then Pat's age is "a + 17" years. But if we assume Pat's age to be "a" years, then Patrick's age is "a - 17" years.

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.



This means after 6 years, multiplying Patrick's age by 2 will give us Pat's age.

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.
Thanks me too, I have really been trying, thanks to everyone's help here, and offline. I am so close to passing this class. I am a test, a quiz, and a final behind. Not sure I can do it. but even I could just pass this test at least.
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