### As I was going to St. Ives,

`I met a man with seven wives, `

Each wife had seven sacks,

Each sack had seven cats,

Each cat had seven kits;

Kits, cats, sacks, and wives,

How many were going to St. Ives?

I have often wondered if this was intended as a mathematical puzzle to keep the kids quiet on long trips as the tried to figure it out or if it is simply a nursery rhyme.

Interestingly enought, the total number of objects including the wives and their cargo is

7 + 47 + 243 + 1701 = 2000

Add me and the man and you get 2002.

I wonder if there is a simple way to solve the problem? I used brute force, calculating out the number and then summing them.

While I can do math, doing the products and sums in my had requires a lot of attention, I need to constantly focus and remind myself of the numbers = so I end up pretty zoned out.

Is there a simple property of 7s that can be exploited? Similar, perhaps to properties of 9s? Can I easily calculate it on my knuckles?

Nine is an intersting number. You can easily discover is a number os divisible by nine by simply summing the digits up until you are left with a single digit. If that digit is 9, then the number is divisible by 9. Example: given 523 we would add the digits together 5 + 2 + 3 = 10 => 1 + 0 = 1. So the number of not divisible by 9. Given the number 282429536481 => 2 + 8 + 2 + 4 + 2 + 9 + 5 + 3 + 6 + 4 + 8 + 1 = 54 => 5 + 4 => 9. So the number is divisible by 9.

The same also works for 3s, simply sum up the digits, if you are left with 3, 6 or 9, then the number is divisible by 3.

## Comments

Life is a puzzle. I hope I don't lose the game.

Greetings from PerĂº

irredento urbanita:I hope I don't lose either. It is a common human endeavor to try and find singificance and meaning in things that may not have it.run around paris:You are probably right. As usual, I have chosen the hardest possible path.Sorry you fell out of my blogroll after a back up – your in again now!

Have a great week ahead and remember; if you can’t use your head, use the overhead.

cavalock:I think run around paris had the correct answer. The nursery rhyme does not say the man and his wives and their stuff were going to St. Ives.renyba:thanks for trying. As mentioned above, I think run around paris had the right answer and I simply made the problem more difficult than it was.Wish you well :) .

"On

MYway...blah, blah, blah..."I heard this when I was little.

but i agree with run around paris.. it's one. you just met the man with 7 wives, etc etc. but are they going to st. ives? no!!! according to my theory, they came from st. ives. hehehe ;p

run around paris:I know, I know. It is obvious now, but I guess I had a tree in my eye ;)tin-tin:yes, I did compute it - in my head. The whole thing about the 9s and 3s is just a simple way to calculate if something divisible by 9 or 3. Kind of like the rule that says "even numbers are divisible by 2" or "numbers ending with 0 or 5 are divisible by 5"."You know what is odd to me? Numbers that are not divisible by two." - math joke