Answer: The required equation is
![(1)/(3)x+(1)/(2)x+2x=34.](https://img.qammunity.org/2021/formulas/mathematics/college/dbxmk3khbmssub2q8ptun7bvguhihx3hrv.png)
Step-by-step explanation: We are given to write the following statement as an equation :
"The sum of one-third of a number, one-half of a number and twice the number is thirty-four".
Let the number be represented by x.
Then, one-third of the number is
one-half of the number is
and twice the number is
![2x.](https://img.qammunity.org/2021/formulas/mathematics/middle-school/p20a2g79l7v8fptf663mkk4s0fdb32ioi8.png)
Therefore, as an equation, the given statement is written as:
![(1)/(3)x+(1)/(2)x+2x=34.](https://img.qammunity.org/2021/formulas/mathematics/college/dbxmk3khbmssub2q8ptun7bvguhihx3hrv.png)
Thus, the required equation is
![(1)/(3)x+(1)/(2)x+2x=34.](https://img.qammunity.org/2021/formulas/mathematics/college/dbxmk3khbmssub2q8ptun7bvguhihx3hrv.png)