**Fido claims that he can read our mind.**

**Click at the following link to test him out!!! :**

**http://www.digicc.com/fido/**

**There are several ways to explain Fido's trick, u**

**sing mathematical reasoning.**

*Make an attempt to use ALGEBRA to explain the "trick"?*
Enter your thinking (algorithm) in Comments.

The answer lies in 9 (again!). Excluding the number 0, all the others adds up to nine. So the algebraic equation is this- 9z-x=y. Take that y is the number you took it out from, and x is the sum of the numbers that you put on the screen. Next, take the sum of x and find the nearest bigger multiple of 9. Take that number divided by 9 to be z. Any number can also be done with this method.

ReplyDeleteLet's say x=6+8+3,y=?. First, we have to find z. So we add up and find the value of x. after adding up, x=17, and thus the nearest multiple is 18, and 18/9 is 2, so z=2. To get y, we just need to use 9z-x, which is equal to 18-17, so the answer is 1. Use any number and you will get this. The last slide, is just a series of quotes, randomly picked like a fortune cookie. That is how it works.

When you subtract the lower jumbled number from the higher one, your answer will always divisible by 9. It's just a math thing.

ReplyDeleteExample: 8137-3718= 4419 (4+4+1+9=18, or 9x2)

Or: 8349 -4398 =3951 (3+9+5+1=18, or 9x2)

If I take away one of the 4s in the first problem, I am left with 14. What do I need to get back to a number divisible by 9? If you add the 3 remaining numbers together, you can guess what the missing one is.

If I take away the 5 in the second problem, I am left with 14. What do I need to get back to a number divisible by 9? If you add the 3 remaining numbers together, you can guess what the missing one is.

The digits of a number that divides by 9 add up to a multiple of 9.

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