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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

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 class=

Sagot :

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.

Explanation:

Let x be the number.

The number is doubled,

[tex]2x[/tex]

The number is doubled it, then decreased by 17,

[tex]2x-17[/tex]

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

[tex]\frac{2x-17}{3}[/tex]

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

[tex]\begin{gathered} \frac{2x-17}{3}=15 \\ \\ 2x-17=15\times3 \\ \\ 2x-17=45 \\ \\ 2x=45+17 \\ \\ 2x=62 \\ \\ x=\frac{62}{2} \\ \\ x=31 \end{gathered}[/tex]

Final Answer:

The number is 31.

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