Question

how would you write " The sum of one-third of a number, one-half of a number,and twice the number is thirty-four" as an equation?

Answer 1

Answer:  The required equation is $\dfrac{1}{3}x+\dfrac{1}{2}x+2x=34.$

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 $\dfrac{1}{3}x,$ one-half of the number is $\dfrac{1}{2}x$ and twice the number is $2x.$

Therefore, as an equation, the given statement is written as:

$\dfrac{1}{3}x+\dfrac{1}{2}x+2x=34.$

Thus, the required equation is $\dfrac{1}{3}x+\dfrac{1}{2}x+2x=34.$