Question

6. Four more than two-thirds of a number is twenty-two. Find the number.

Answer 1

`\Huge \boxed{27}`

Explanation:

Let the number be x.

`(2)/(3) x+4=22`

Solve for x.

Subtract 4 from both sides.

`(2)/(3) x+4-4=22-4`

`(2)/(3) x=18`

Multiply both sides by
`(3)/(2)`.

`(2)/(3) x \cdot (3)/(2) =18 \cdot (3)/(2)`

`x=27`

The number is 27.

Answer 2

27

Explanation:

Let x be the number

2/3 x+4 = 22

Subtract 4 from each side

2/3x +4-4 = 22-4

2/3 x = 18

Multiply each side by 3/2

3/2 ( 2/3x) = 18 * 3/2

x = 27