# The quotient of a number and -7, decreased by 2, is 10. How do you find the number?

May 31, 2018

$- 84$

#### Explanation:

Let the number be $x$. Then we have,

$\frac{x}{-} 7$ (The quotient of a number and -7)

$\frac{x}{-} 7 - 2$ (decreased by 2)

$\frac{x}{-} 7 - 2 = 10$ (is 10)

Now we can solve for $x$.

$\frac{x}{-} 7 = 10 + 2$

$\frac{x}{-} 7 = 12$

$x = 12 \cdot - 7$

$= - 84$

So, the original number is $- 84$.