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

Answer:

D.  $\boxed{x = 5}$

Step-by-step explanation:

Let the number be x

Condition:

$\frac{1}{10} x + 2 = \frac{1}{2} x$

$\frac{x}{10} -\frac{x}{2} = -2\\LCM = 10\\Multiplying \ both \ sides \ by \ 10\\x - 5(x) = -2(10)\\x -5x = -20\\-4x = -20$

Dividing both sides by -4

x = 5

Answer 2

Answer:

$\boxed{5.0}$

Step-by-step explanation:

Let the number be $x$.

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

$2+\frac{1}{10} x=\frac{1}{2} x$

$2=\frac{1}{2} x-\frac{1}{10} x$

$2=\frac{2x}{5}$

$10=2x$

$\frac{10}{2} =x$

$5=x$

The number is 5.0