Question

I thought of a number, doubled it, then decreased by 17. Then I divided the result by 3. I got 15. What was the number

Answer 1

Given:

The number is doubled it, then decreased by 17. Then I divided the result by 3. I got 15.

Required:

To find the number.

Step-by-step explanation:

Let x be the number.

The number is doubled,

`2x`

The number is doubled it, then decreased by 17,

`2x-17`

The number is doubled it, then decreased by 17. Then I divided the result by 3.

`(2x-17)/(3)`

The number is doubled it, then decreased by 17. Then I divided the result by 3, then the result is 15,

`\begin{gathered} (2x-17)/(3)=15 \\ \\ 2x-17=15*3 \\ \\ 2x-17=45 \\ \\ 2x=45+17 \\ \\ 2x=62 \\ \\ x=(62)/(2) \\ \\ x=31 \end{gathered}`

Final Answer:

The number is 31.