Tricky precalculus word problem

In summary, the problem is to find the year when a riddle was told at a birthday party a few years ago. The solution involves using X as the variable for the year when the riddle was told and Y as the person's birth year. The equation (X-30) - Y + (X-100) = Y is used, but it results in only finding the person's age instead of the actual year. It is suggested that the person may have meant X+30 instead of X-30.
  • #1
hisoko
9
0

Homework Statement


I need to figure out the formula and answer for this word problem.

it says "A few years ago at her birthday party, mary said take the year it will be 3 decades from now. Subtract the year of my birth and add the year it was one century ago. You now have my birth year.

however I am not trying to find out her birth year but rather what year it was when she was talking about this riddle.

Basically she is telling people at her birthday party that's taken place a few years ago from the present year this riddle and I need to find out what year it was when she was talking about this riddle.

Homework Equations


I came up with using X as the variable for the year it was when she was talking about this at her birthday party and Y as her birth year.

The Attempt at a Solution



the closest i could come up with is (X-30) - Y + (x-100) = Y

x-30 is take the year it will be 3 decades ago when she told this riddle

-Y for subtracting the year of her birth

then +(X-100) for adding the year it was one century ago when she told this riddle.

and then = Y for resulting in her birth year.

So the Y cancel each other out, as I am sure it was supposed too since I can't have 2 unknowns if I am to solve this but If I solve for X I get 35 and that doesn't seem too right as it should end up with something like 1995 or something close as the present year is 2010 and in the math problem it states a few years ago is when she talked about this riddle. Any ideas ? thanks for your help

edit* I just realized the Y doesn't cancel lol well I am out of ideas
 
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  • #2
I believe she talks about x+30, not x-30

However I can only see how old she was when it has all been told.
 
  • #3
Magwas is correct. Anyway, I checked with a couple of random years, and it would appear that the description given would apply to any year, or at least more than one, so all you can find is her age.
 

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Precalculus word problems can be considered tricky because they often involve multiple steps and require a strong understanding of precalculus concepts. They may also involve complex scenarios that require careful analysis and interpretation.

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