Question

Separate 846 into 3 parts so that the second part is twice the first part and the third part is triple the second part. Which of the following equations could be used to solve the problem?

A.) 846 = x + 2x + 3x
B.) 846 = x + 2x + 6x
C.) 846 ÷ 3 = x + 2x + 6x

Answer 1

B.
`x+2x+6x=846`

Explanation:

We are given that, 846 is separated into 3 parts.

Let the first part =
`x`

Then, the second part = 2 × first part =
`2x`

Also, the third part = 3 × second part =
`3(2x)` =
`6x`

Since, 846 is separated into 3 parts.

So, the sum of the these parts is equal to 846.

That is,

First part + Second part + Third part = 846

i.e.
`x+2x+6x=846`

Hence, the equation to solve the problem is
`x+2x+6x=846`.

Answer 2

"846 = x + 2x + 6x" is the one equation among the equations given in the question that could be used to solve the problem described in the question. The correct option among all the options that are given in the question is the second option or option "B". I hope the answer has helped you.