Question

Amrita thinks of a number, she doubles it, adds 9, divides by three and then subtracts one.

Answer 1

Answer:

x = 6

Step-by-step explanation:

Let the number be x

Now let's make an equation for it:

=> $\frac{2x+9}{3} -1 = x$

=> $\frac{2x+9}{3} = x+1$

Multiplying both sides by 3

=> 2x+9 = 3(x+1)

=> 2x+9 = 3x+3

=> 3x-2x = 9-3

=> x = 6

Answer 2

Answer:

I believe your answer would be 6.

Step-by-step explanation:

I have set up an equation that represents the situation.

Letting the unknown number being 'n':

$\frac{2n+9}{3} -1=n$

$\frac{2n+9}{3} -1=n\\\\\frac{2n+9}{3}-1+1=n+1\\\\\frac{2n+9}{3}=n+1\\\\\frac{2n+9}{3}*3=3(n+1)\\\\2n+9=3n+3\\\\2n+9-9=3n+3-9\\\\2n=3n-6\\\\2n-3n=3n-3n-6\\\\-n=-6\\\\\frac{-n}{-1}=\frac{-6}{-1}\\\\ \boxed{n=6}$