Answer: The required equation is [tex]\dfrac{1}{3}x+\dfrac{1}{2}x+2x=34.[/tex]
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 [tex]\dfrac{1}{3}x,[/tex] one-half of the number is [tex]\dfrac{1}{2}x[/tex] and twice the number is [tex]2x.[/tex]
Therefore, as an equation, the given statement is written as:
[tex]\dfrac{1}{3}x+\dfrac{1}{2}x+2x=34.[/tex]
Thus, the required equation is [tex]\dfrac{1}{3}x+\dfrac{1}{2}x+2x=34.[/tex]
