# Question #ff015

Oct 30, 2017

The number is $- 10$.

#### Explanation:

Let the number be $x$.

Given that :

$\frac{x}{2} - \frac{x}{1} = 5$

$\implies \frac{x}{2} - \frac{x}{1} \times \frac{2}{2} = 5$

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

$\implies x - 2 x = 5 \times 2$

$\implies - x = 10$

$\therefore x = - 10$

So, the number is -10.

Cross check:

$- \frac{10}{2} = - 5$ and $- \frac{10}{1} = - 10$ and their difference:

= $- 5 - \left(- 10\right) = - 5 + 10 = 5$