Arbrakazoo

let our number be $a$ . All we need to do is manipulate $a$ in the way that we have been instructed to:

$a + 10 = (a + 10)$ $6 \times (a + 10) = (6a + 60)$ $(6a + 60) - 6 = (6a + 54)$ $\frac{(6a + 54)}{3} = (2a + 18)$ $(2a + 18) - a = (a + 18)$ $(a + 18) + 9 = (a + 27)$ $(a + 27) - a = \boxed{27}$

Whoo!

Any two-digit number can be written in the form $10a+b$ where $a$ and $b$ are positive integers.By adding $10$ the new number will be $10a+b+10$ .By multiplying it by $6$ , we obtain $6(10a+b+10)$ .Subtract $6$ and we have $6(10a+b+9)$ .Dividing by $3$ we get $2(10a+b+9)$ .Subtracting the original number and we have $10a+b+18$ .Add 9 and we have $10a+b+27$ .Subtracting the original number and we are left with $27$ .Wow , we have no more variables and the final answer is $27$ .Therefore the number we obtained after doing all these operations is $\boxed{27}$ .

Let the original number about which we thought be $x$ . So, the above statements in the word problem can be converted to a single mathematical expression (a linear equation in a single variable) as follows:

Step - 1 : Add 10 to this number. => $x+10$

Step - 2 : Multiply the result by 6. => $(x+10) \times 6$

Step - 3 : Subtract 6 from the result. => ${(x+10) \times 6}-6$

Step - 4 : Divide the number by 3. => $\frac{{(x+10) \times 6}-6}{3}$

Step - 5 : Subtract the original number that you thought of. => $\frac{{(x+10) \times 6}-6}{3} - x$

Step - 6 : Add 9 to the result. = > ${\frac{{(x+10) \times 6}-6}{3} - x}+9$

Step - 7 : Subtract the original number that you thought of. = > ${{\frac{{(x+10) \times 6}-6}{3} - x}+9}-x$

So, all these haywire arithmetic yields us the value of $x$ , which is the number we thought and Martin claims to know.

Therefore, the value of the above expression is equal to the original number we thought, i.e., $x$ .

So, ${{\frac{{(x+10) \times 6}-6}{3} - x}+9}-x = x$

We can easily solve this equation now to get the value of $x$ as $\boxed{27}$ , which is the answer.

a=any number you want

in this case i chose number 1

just follow the instruction:

1+10=11

11*6=66

66-6=60

60/3=20

20-1=19

19+9=28

28-1=27

answer is 27

let the number be "x" the given process can be expressed as : first x+10,then 6(x+10)=6x+60 after that -6 which gives 6x+54 then divide 6x=54 by 3 which gives 2x+18 next 2x+18-x=x+18 next x+18+9=x+27 next x+27-x=27

The answer is 27

this expression is constant expression whose value evaluates to 27

Let the number we think be x Add 10 to this number. = (x+10), Multiply the result by 6. = (x+10 ) × 6, Subtract 6 from the result. = 6x +10 - 6, Divide the number by 3. = (6x +54) / 3, Subtract the original number that you thought of. = (6x +54) -3x / 3, Add 9 to the result. = (6x+54-3x)/3 + 9 ⇒ (6x+54-3x+27)/3, Subtract the original number that you thought of. = (6x+54-3x+27)/3 - x ⇒ (6x+54-3x+27+3x)/3,
⇒ (6x-3x-3x+27+54)/3 ⇒ 81/( 3 )=27 .

nothing to do in this

just think and follow the steps above

at the end result would be your answer.

in every case answer would be 27.

Any two digit number can be represented in the form 10 x + y where x is digit in tens place and y is digit in units place. then replicating the said steps we have: 10 x + y + 10. (10 x + y +10)*6. 60 x +6 y +60 -6. (60 x +60 y + 54)/3. 20 x +2 y +18 -(10 x +y). 10 x + y + 18 +9. 10 x + y + 27-(10 x +y). 27 is the required answer

obviously you got the right answer by this case,this isn't a problem.If you just do what mathematician want you to do,by following what instructed in this case. the answer is fully given. The mathematician tells us to think any 2-digit number, then add 10 times 6 minus 6 divide 3 minus ur 2 digit number u choose add 9 minus the number u choose and you arrived the answer. easy

You just follow the steps, choosing a random 2 digit number and your final result is the answer.

For Example You Thought 20 Than Add 10 It Up 30 By Multiply 6 It Made 180 Now Subtract 6 it Be 174 Than Dividing By 3 It Is 58 Now Subtract Your Thought 20 It Raised To 38 Add 9 It Go To 47 Again Subtract You Thought 20 Now Left 27 Is The Answer . The Solution is 1st 10 we add consider it 1 than we multiply 6 total is 7 , you should ask final answer than subtract 7 it be the amount that thought others

i thought in mind just 10. and i first add 10+10 then multply by 6 20 X 6 =60 then subtract 6 120 - 6 = 114 then divide by 3 114/3 = 38 then i subtract 10 form 38 38 -10 = 28 then Add 9 with this 28+9 =37 then subtract 10 from 37 37-10=27 and this is correct answer

If you ask me, I just followed the steps as told by Martin here and I got the answer as $\boxed{27}$ . LOL...xD

Let's think of any two-digit number $n$ .

• Add 10 to this number.

$n + 10$

• Multiply the result by 6.

$(n + 10) \times 6$

• Subtract 6 from the result.

$6(n + 10) - 6$

• Divide the number by 3.

$\frac{6(n + 10) - 6}{3} = 2(n + 10) - 2$

• Subtract the original number that you thought of.

$2(n + 10) - 2 - n$

• Add 9 to the result.

$2(n + 10) - 2 - n + 9$

• Subtract the original number that you thought of.

$2(n + 10) - 2 - n + 9 - n = 2n + 20 - 2 - n + 9 - n = \boxed{27}$

That's the answer!

let our number be x thus,{ [ ( x + 10 ) * 6 ] - 6 } / 3 - x + 9 - x = [ ( x + 10)* 2 - 2] - 2x + 9 = 2 ( x+ 9 ) - 2x + 9 = 18 + 9 = 27