(Mar. 31, 2011  10:21 PM)GaHooleone Wrote: Hah, didn't even notice there wasn't a topic on this. I'm actually a 'prodigy' in math, so to speak. I'm in 9th grade and taking 11Honors math (Pre-Calc). Now, most people would think, "That's not big of an achievement. I've seen better." So have I. But what makes me different is that while others went to CTY (Center for Talented Youth) and took math courses there, therefore giving them the credit they need to pass a course, or LISG (Long Island School for the Gifted), where they were accelerated multiple times with heavy-duty education and thrown back into the curriculum with accelerated in almost all of their courses, or some other program. I didn't. I did so well in the public school system where I go that I was recommended to go to a higher level, which is why I'm known as a prodigy. Plus, I'm a grade ahead in English. But let's see about that problem... (will be edited with answer that I get eventually)

(Mar. 31, 2011  10:21 PM)GaHooleone Wrote: GOT IT! Here: 9867312, this is the largest I can get.

(Mar. 31, 2011  10:30 PM)Kai-V Wrote:

(Mar. 31, 2011  8:38 PM)SaMaster14 Wrote: Actually, my dad works as a business manager, and grosses about $1million a year, personal salary ... sure he has to do basic arithmetic, but in no way was he ever good at math, he never even took calculus... My godfather, a strong businessman and entrepreneur owns 11 businesses, and one of his best friends and partners is worth $3 billion ... never even took any form of higher math. Same goes for some other family members I have... Doing well in business, being a CEO, business management, etc etc... if you have the right calculator or computer, or if your brain is just programmed to run a business, you really don't need math to succeed. Sure, as I said, its a great thing to have, but the most successful people didn't get to where they are today solely through math... and yes, some did, but its not the only way.

In my honest opinion, being so closed minded as to say math is the only way (or saying any one thing is the only way) is the downfall of any attempts at success. You must be open minded and try EVERY way, be creative, see all the openings, and create something from nothing.

I live where people just think "success and fame" (Beverly Hills) and have so many connections to people worth money that even I can't even comprehend at times... and math certainly has not played a role in all of their successes.

I like math, but I don't think I will use higher math in the business opportunities that I engage in, but I know that I will be as successful, if not more successful, than all of my family members.

I do not think anybody will take your family as the norm though. Doing a few advanced mathematic classes definitely opens a lot more doors in an education system like in Canada. Of course, there are some careers like being a lawyer that do not even require you to take natural sciences courses and can still get you a huge salary. However, grasping such abstract concepts as there can often be in mathematics is never a bad aspect for intelligence in general, and unless you go for some exceptions in society, the average person who wants to get a great, paying job will have to consider mathematics in their scholarship.

(Apr. 01, 2011  8:01 AM)Mushy Wrote: Excellent Ga'Hooleone, you are correct in believing that 9867312 is the largest possible number given what I said. Since I planned to have a new problem every Monday, a tournament in July and to have explained how to achieve the conclusion to the problem on weekends, your timing is perfect. I will have a new problem up by Monday, or if preferred, I'll put it up now as an exception to the roster? Ah, I can't help waiting, I'll post it now. On some other note, in regard to opening doors,bit of a cliche overuse, eh?

Bewildered, Forgetful and not so fail, Bob.

Bob has an unreliable memory. When asked for his phone number on six different occasions, it wasn't surprising that he failed to give out his real number on each of his different attempts.

#1: 913916
#2: 917931
#3: 917601
#4: 914544
#5: 919772
#6: 911805

Although, his memory is not a complete failure since:
a) his telephone number does in fact consist of 6 digits.
b) in every attempt, the first two digits are correct. (91)
c) in each of his attempts, he also had exactly one of the last four digits in the correct place.
Question: What is his telephone number provided that the last four digits are all different?

What I have seen is that people consider the guide to be for losers, when in reality, it isnt. I actually encourage you to make use of the guide anyway. If yu can solve it on your own then thats great, but it is better to show working and use the guide rather to prove just the answer, or complete it yourself then answer the questions?

[The guide shall be posted soon enough.]

(Mar. 31, 2011  10:58 PM)Kaji Motomiya Wrote:

(Mar. 31, 2011  10:21 PM)GaHooleone Wrote: GOT IT! Here: 9867312, this is the largest I can get.

It IS indeed divisible by 7, 6, AND 42. I don't know how I skipped this one, but I was pretty close last night. I should've thought about switching the 6 and 7 than switching the 8 and 7 after 7 failed to divide...

But can you explain how you came across this?

(Mar. 31, 2011  10:21 PM)GaHooleone Wrote: Hah, didn't even notice there wasn't a topic on this. I'm actually a 'prodigy' in math, so to speak. I'm in 9th grade and taking 11Honors math (Pre-Calc). Now, most people would think, "That's not big of an achievement. I've seen better." So have I. But what makes me different is that while others went to CTY (Center for Talented Youth) and took math courses there, therefore giving them the credit they need to pass a course, or LISG (Long Island School for the Gifted), where they were accelerated multiple times with heavy-duty education and thrown back into the curriculum with accelerated in almost all of their courses, or some other program. I didn't. I did so well in the public school system where I go that I was recommended to go to a higher level, which is why I'm known as a prodigy. Plus, I'm a grade ahead in English. But let's see about that problem... (will be edited with answer that I get eventually)

GOT IT! Here: 9867312, this is the largest I can get.

(Apr. 01, 2011  8:01 AM)Mushy Wrote: Excellent Ga'Hooleone, you are correct in believing that 9867312 is the largest possible number given what I said. Since I planned to have a new problem every Monday, a tournament in July and to have explained how to achieve the conclusion to the problem on weekends, your timing is perfect. I will have a new problem up by Monday, or if preferred, I'll put it up now as an exception to the roster? Ah, I can't help waiting, I'll post it now. On some other note, in regard to opening doors,bit of a cliche overuse, eh?

Bewildered, Forgetful and not so fail, Bob.

Bob has an unreliable memory. When asked for his phone number on six different occasions, it wasn't surprising that he failed to give out his real number on each of his different attempts.

#1: 913916
#2: 917931
#3: 917601
#4: 914544
#5: 919772
#6: 911805

Although, his memory is not a complete failure since:
a) his telephone number does in fact consist of 6 digits.
b) in every attempt, the first two digits are correct. (91)
c) in each of his attempts, he also had exactly one of the last four digits in the correct place.
Question: What is his telephone number provided that the last four digits are all different?

What I have seen is that people consider the guide to be for losers, when in reality, it isnt. I actually encourage you to make use of the guide anyway. If yu can solve it on your own then thats great, but it is better to show working and use the guide rather to prove just the answer, or complete it yourself then answer the questions?

[The guide shall be posted soon enough.]

(Apr. 01, 2011  11:42 PM)Mushy Wrote: Hopefully, this idea can be implemented well. Ga, you are awarded one math credit. If the WBO staff are willing to co-operate, perhaps we can also have WBO faces for acheiving a certain amount of credits, and winning the July tournaments.

(May. 20, 2011  2:50 AM)Kai-V Wrote: Must the added marbles come from the other hats, or do you have an infinite amount elsewhere ? Because otherwise, you cannot always really "add" an amount to each hat.

Furthermore, does it need to be the same amount of [colour] marble for each hat ? For instance, two more green marbles in each one ? That is what your system seems to suggest.

(May. 20, 2011  2:51 AM)GaHooleone Wrote: It should be 3 variables, one for red, one for green and one for blue. That could be why.

(May. 20, 2011  2:53 AM)NoodooSoup Wrote: Infinite amounts of marbles.

Also, no, it doesn't need to be the same amount. But, half the hat has to be green. The amounts of red and blue don't matter, as long as half is green. And in order for it to be half, it would be 'green = red + blue' so that's what I made my equations on.

(May. 20, 2011  3:04 AM)Kai-V Wrote:

(May. 20, 2011  2:53 AM)NoodooSoup Wrote: Infinite amounts of marbles.

Also, no, it doesn't need to be the same amount. But, half the hat has to be green. The amounts of red and blue don't matter, as long as half is green. And in order for it to be half, it would be 'green = red + blue' so that's what I made my equations on.

OK, but right now you have :
Hat 1 : green + x = red + blue + y
Hat 2 : green2 + x = red2 + blue2 + y
Etc.

It will not be the same x in each case, so unless I am really missing way too much from my good, high school years of mathematics, you cannot blend them and use "x" as if it were always the same. The problem is that x1, x2 and x3 would not really be linked, nor would three y.

It seems easy to solve without variables, so perhaps you could work backwards, hah.