You don't need to say a thing Part 1

Logic Level 1

Think of any number. Multiply it by 6 and add 3. Then divide it by 3 and add 8. Lastly, subtract twice the original number. I know what number you have left. What must it be?


The answer is 9.

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14 solutions

Vaibhav Prasad
Jul 15, 2015

Let the number be a a . On multiplying with 6 6 we have 6 a 6a and on adding 3 3 we have 6 a + 3 6a+3 .

Dividing by 3 3 would give 2 a + 1 2a+1 and then adding 8 8 would make it 2 a + 9 2a+9 .

Finally subtracting twice the original number we get 2 a + 9 2 a = 9 2a+9-2a=9

Hence we'll always get 9 \huge{\boxed{9}}

Take any number (except from 1 to 8) find the sum of it's digits and then subtract it from the original number the resultant number will always be divisible by ( 3 & 9) Ex - consider the number 245 the addition of digits comes out to be 11 , 245-11 = 234 is divisible by 3 & 9

Krishna Shankar - 5 years, 11 months ago

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If you add the sum of ANY number, it will be divisible by 3. Simple divisibility.

The Humble Believer - 4 years, 10 months ago

it should be subtract it from!!!!

Kaushal Banthia - 5 years, 7 months ago

I couldn't have put it better myself.

Tim Auger - 5 years, 5 months ago

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Very much agreed.

The Humble Believer - 4 years, 10 months ago

Initially I solved by following the instructions given. But you have posted an appropriate solution. Thanks for it.

Mayank Prakash - 5 years, 10 months ago

What if we take a fraction, its not written that it must be an integer.

Arpan Adlakhiya - 4 years, 12 months ago

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Very true fact, but Im pretty sure the same result will become of it. Eg. 1/9 + 9 -9 = 1/9. The thought is dismissed😊

The Humble Believer - 4 years, 10 months ago

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I meant subtract 1/9 not 9 itself.

The Humble Believer - 4 years, 10 months ago

ohhh good laugh

Jan Dennis Teves - 4 years, 7 months ago

but i dint understood that when we do twice of 2a it will be 4a then how your answer is coming 2a

monisha gupta - 3 years, 11 months ago
Wwt Manahan
Sep 5, 2015

Suppose that your number is x x . Multiply by 6 6 : 6 x 6x Add 3 3 : 6 x + 3 6x + 3 Divide by 3 3 : 2 x + 1 2x + 1 Add 8: 2 x + 9 2x + 9 Subtract twice the original number (subtract 2 x 2x ): 9 9 The output is 9, irrespective of the original number. EDIT: Of course, you could just follow the steps with some number, but that takes all the fun out of it...xD

Thanks a lot this made it much easier

Manal Mabrook - 4 years ago
Jose Tolentino
Jul 16, 2015

You see the first two numbers 6&3 and your brain automatically thinks of 2 since 6÷3=2

How does that solve the problem?

Chung Kevin - 5 years, 10 months ago

My thought was 10. Please rephrase YOUR brain to MY brain.

The Humble Believer - 4 years, 10 months ago

I thought of 7, so no.

Mike Hadley - 5 years, 2 months ago

You can think of any number and that is your choice.😁

Garrett Wessman - 3 years, 8 months ago
Salman Ather
Oct 22, 2015

Let the number is 3 which you think that Then multiple by 6 is = 18 then add 3 is = 21 , now divide by 3 is = 7 then add 8 is = 15 .... Finally subtracting twice the original number which you think that is 3 So , 15 - 3 - 3 = 9

Hence we will get [9]

Mxjd Ultimate
Jun 5, 2021

This is one of the many reasons why 9 is a mysterious number.

Vishruth K
Mar 30, 2021

How I did it: 7 x 6 = 42 + 3 = 45 - 3 = 15 + 8 = 23 - 14 = 9. This is how I got 9 .

Zoe Codrington
Sep 23, 2018

Let the number be x.

Multiply x by 6: 6x And add 3: 6x+3 Divide by 3: 2x+1 And add 8: 2x+9 Lastly, subtract twice the original number:9

Ammar Ibn Sadakah
Aug 20, 2018

(6x + 3)/3 + 8 - 2x

= (2x + 1) + 8 - 2x

= 2x + 1 + 8 - 2x

= 9

the answer will always 9

Munem Shahriar
Jul 6, 2017

Suppose x x is the number.

6 x + 3 3 + 8 2 x = 2 x + 1 + 8 2 x = 1 + 8 = 9 \begin{aligned} \dfrac{6x+3}{3} + 8 - 2x & = 2x+1 + 8 -2x \\ & = 1+8 \\ & = 9 \\ \end{aligned}

Annie Li
Mar 22, 2017

Try the numbers one two and three

John Chapman
Jan 31, 2017

You should already be able to guess that the input number is arbitrary, so just make it 0.

0 * 6 = 0

0 + 3 = 3

3 / 3 = 1

1 - (0 * 2) = 0

1 + 8 = 9

Only two statements actually matter, and they don't use the arbitrary number.

Siddharth Goyal
Oct 29, 2016

let the no. be 'x' ATQ multiply the no. with 6 and add 3.so, the no be comes '6x+3' divide by 3 and add 9.so the no becomes 6 x + 3 3 \frac{6x+3}{3} +9=2x+9 at last the subtract the original no from it will give 9

ANS=9

Doug Gwyn
Sep 18, 2016

Since we know that the chosen number is irrelevant, choose 0 so the arithmetic is easy.

This also works with 0.

It works with negatives too

A Former Brilliant Member - 4 years, 9 months ago

Yes, because of algebra

Zoe Codrington - 2 years, 8 months ago

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