Question

I am thinking of a number.
I multiply it by 12 and subtract 216.
I get the same answer if I multiply
by 2 and subtract 6.
What is my number?​

Answer 1

Answer:

$21$

Step-by-step explanation:

Let $x$ be that number.

$12x-216=2x-6$

$12x-2x=-6+216$

$10x=210$

$10x/10=210/10$

$x=21$

21 is the number.

Answer 2

Let n, equal that number.

12n - 216 = 2n - 6

Solve for n:

12n - 216 = 2n - 6

12n - 216 + 216 = 2n - 6 + 216

12n = 2n + 210

12n - 2n = 2n - 2n + 210

10n = 210

10n/10 = 210/10

n = 21

Therefore, the answer si 21.

Best of Luck!