Question

If one- tenth of a number is added to 2, the result is half of that number, find the number. A. 2.5 B. 3.3 C. 4.2 D. 5.0 ​

Answer 1

`\boxed{5.0}`

Explanation:

Let the number be
`x`.

1/10 of x is added to 2, the result is half of x.

`2+(1)/(10) x=(1)/(2) x`

`2=(1)/(2) x-(1)/(10) x`

`2=(2x)/(5)`

`10=2x`

`(10)/(2) =x`

`5=x`

The number is 5.0

Answer 2

D.
`\boxed{x = 5}`

Explanation:

Let the number be x

Condition:

`(1)/(10) x + 2 = (1)/(2) x`

`(x)/(10) -(x)/(2) = -2\\LCM = 10\\Multiplying \ both \ sides \ by \ 10\\x - 5(x) = -2(10)\\x -5x = -20\\-4x = -20`

Dividing both sides by -4

x = 5