• July 2009
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Math Riddle Answer (Long Overdue ^^;)

There are exactly eight possibilities for the product of three ages to be 36.

Son 1     Son 2     Son 3     Product     Sum

1           1           36         36            38

1           2           18         36            21

1           3           12         36            16

1           4            9          36            14

1           6            6          36            13

2           2            9          36            13

2           3            6          36            11

3           3            4          36            10

Since Ivan could not solve the problem when he knew the sum of the three numbers – the date of the encounter – that meant the sum had to be 13, for which there are 2 possibilities. The added information about the youngest son means that one of the possibilities can be eliminated – the 9 year old and the two 2 year olds – since in this case there is no youngest son. Igor’s sons are 1 years old with twins of 6 years old.

In case you didn’t get that. xP :

So, the first thing you’re probably wondering is: how can we solve this puzzle if we don’t know the date when they meet?

Let’s look at it this way: there are 8 possibilities for the product of the three ages to equal 36. If you look at the sum, you can see that 13 is the only sum to be repeated twice. If the sum was, say, 14, Ivan wouldn’t have any trouble solving the problem. But because he had trouble, it showed us that the date of the encounter was the 13th, because he couldn’t solve the problem – there were two possible answers.

Now that we nailed the date, we can concentrate on the ages of the sons. We have two possibilities as to what the ages could be:

First possibility: Twins of 2 years old and a boy that’s 9 years old.

Second possibility: A one year boy and twins of 6 years old.

At this point, Ivan told Igor he couldn’t solve the problem. Igor realized this and told him that his youngest son has red hair.

So you’re probably thinking – that’s irrelevant. What does that have to do with anything?

Take a look at the ages again – if there were twins of 2 years old and a 9 year old boy, doesn’t that mean there is no youngest son? (And no, the whole “one twin is born before the other” doesn’t count).

That leaves you with the last choice.

Igor has a one year old boy and 6 year old twins.

She’s Still Alive! D;

Currently feeling:chikas_pink12 Dazed

I know, I know. It’s been almost a month since I blogged.

Well, I can’t exactly say it’s because I’ve been busy, because that would be a lie. I guess it has more to do with laziness and the lack of anything to write about. ^^;

So, a brief recap of my summer so far:

1. Took emergency first aid!

Yeah, youngest person there. ^^; It was fun, but tiring.

2. Went on safari!

Well, we went to a safari park, to be exact. xD One part let monkeys climb on your car – but no monkeys climbed on ours. x(

3. Gaia Online!

I’ve been going on that site everyday. x3 If you want to make an account there, click on the link to my Gaia account on my Blogroll.

4. Tutor’s Homework!

Been trying to avoid doing it. x( But anyways, a lot of writing to do! I have to read a couple of books over the summer: I, Robot, To Kill a Mockingbird, Alice in Wonderland, Animal Farm (not as childish as it sounds!) and The Alchemist. I have to write a literary report for The Tell-Tale Heart.

Here’s a beautiful, short animation of it. A bit creepy, but what do you expect from Poe? xP

I also have to write 3 pieces for a writing contest. So busy~

5. Piano Exam!

Sorta freaking about this, because I won’t have much practice time (see reason why below). It isn’t that bad, because even if I fail it, I will be going on to the next level (Piano teacher told us that too late. D:), but I would still like to pass. I’m trying to cram in as much practice as I can before I leave. My hands are tired. T.T

6.Going to camp!
Yeah, I’m going to camp for 3 weeks, so I won’t be blogging at that time… I’ll miss everyone here at Sanriotown!

Happy Fourth of July! (Belated, again)

Currently feeling: angelstar-kaos031 Energetic

Been feeling busy lately. But Happy Fourth of July to all the Americans! Hope you guys had fun. ^^

Canada Day (Belated)

Currently feeling: Patriotic. :3


Of course, there were fireworks! It’s sorta hard to take pics of fireworks, I took a video instead. xD But my family kept on talking in it, so I think it’s a bit too embarrassing for me to post it here. There were a lot of red and white fireworks near the end. :3

So, on to Canada Day! It was formerly known as Dominion Day. It’s celebrated on the first of July, to commemorate the 1867 enactment of the British North America Act. The act united the country of Canada, which was composed of four provinces at the time. x3 The provinces were: Nova Scotia, New Brunswick, Ontario and Quebec.

Canada Day 2008 Snowbirds over Parliament.jpg

The Snowbirds over the Parliament buildings.  I wasn’t actually there for the event, the pictures from Wikipedia (as usual). Read more about Canada Day here.

Yay for patriotic pride~ I love Canada! Second largest country, eh? (And no, I don’t actually say “eh” in real life. FYI).

And no, we’re not America’s funny hat, kay? D:

So seriously, move here. The igloos are pretty comfy. :3

:] Ok, the stereotypes are done. You can come out now.

A bit about my day – went to the eye doctor’s (eyes are fine). Oh, and the answer to that Russian mathematician puzzle will come tomorrow or something. Unless you guys want a couple more days.

Happy Canada Day

Happy Canada Day~

Will blog about it tomorrow! :)

BrainMatics: Logic Puzzles

Currently feeling: sweet kaoni angelCheerful

Went shopping today~

On top of the usual things, I bought these 2 books on an impulse:


I’m ok with math, but it’s not my strongest subject. xD

I’m going to post the first puzzle in the book. It made my brain hurt.

Two Russian mathematicians meet on a plane:

“I believe you have three sons, what are their ages today?” asks Ivan.

"Yes, I do have three sons. The product of their ages is 36, and the sum of their ages is exactly today’s date,” answers Igor.

“I’m sorry, Igor, but that doesn’t tell me the ages of your sons,” says Ivan after a minute or two.

“Oh I forgot to tell you. My youngest son has red hair.”

"Ah, now it’s clear. I now know exactly how old your sons are,” concludes Ivan.

How did Ivan work out the ages of the sons?

© BrainMatics Logic Puzzles by Ivan Moscovich

Yeah, I don’t get it either. ^^;

Answer will be in next post! >:3 Feel free to e-mail me your answer, or leave an answer in the comments. No cheating! x)

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