Question

Which equation can be used to represent “six added to twice the sum of a number and four is equal to one-half of the difference of three and the number”?

Answer 1

Hello!

You could write this equation as seen below.

6+2(x+4)=0.5(3-x)

I hope this helps!

Answer 2

The required equation is
`6+2(x+4)=(1)/(2)(3-x)`.

Explanation:

Let x be the unknown number.

We have to find the equation for the statement “six added to twice the sum of a number and four is equal to one-half of the difference of three and the number”.

Twice the sum of a number and four = 2(x+4)

Six added to twice the sum of a number and four is equal = 6+2(x+4)

Difference of three and the number = (3-x)

One-half of the difference of three and the number =
`(1)/(2)(3-x)`.

Since six added to twice the sum of a number and four is equal to one-half of the difference of three and the number, therefore

`6+2(x+4)=(1)/(2)(3-x)`

Hence, the required equation is
`6+2(x+4)=(1)/(2)(3-x)`.