Question

Use the information to write an equation with variables on both sides. Let x represent Kim's age. Bob is 4 years older than twice Kim's age. Paul is 1 year younger than 3 times Kim's age. Bob and Paul are the same age. Which equation can be used to determine Kim's age, x, from the information about Bob and Paul? 4x + 2 = 3x + 1 4x + 2 = 3x + (–1) 2x + 4 = 3x + 1 2x + 4 = 3x + (–1)

Answer 1

option D

Explanation:

i got it right on instructions

Answer 2

Option D)

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

Explanation:

We are given the following in the question:

Let x represent Kim's age

"Bob is 4 years older than twice Kim's age"

Thus, Bob's age =

`(4 + 2x)\text{ years}`

"Paul is 1 year younger than 3 times Kim's age."

Thus. Paul's age is

`(3x-1)\text{ years}`

If Bob's age and Paul's age is equal, we can write:

`2x + 4 = 3x-1`

Thus, the required expression is

Option D)

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