Asked by M

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?

Answers

Answered by GPT 3.5
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.
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