A number is added to 6. The sum is then multiplied by 6. Then, 6 is again subtracted from the product. When the difference divided by 6, the result is still 6. What is this number?

Answer 1

Let's call the number we are trying to find "x".

The first step is to add x to 6, which gives us 6 + x.

Next, we multiply the sum by 6, so we have 6(6 + x) = 36 + 6x.

Then, we subtract 6 from the product, giving us 36 + 6x - 6 = 30 + 6x.

Finally, we divide the difference by 6, so (30 + 6x) / 6 = 6.

Simplifying the equation, we get 30 + 6x = 36.

Subtracting 30 from both sides, we have 6x = 6.

Dividing both sides by 6, we find that x = 1.

Therefore, the number we are looking for is 1.