Question

The quotient of a number and -7,
decreased by 2, is 10. Find the
number.

Answer 1

-84

Explanation:

`(n)/(-7)` -2 = 10

add 2 to each side to get:

`(n)/(-7)` = 12

multiply each side by -7 to get:

n = -84

Answer 2

-84

Explanation:

Let the number be x. Then we have,

`(x)/(-7)` (the quotient of a number and -7)

`(x)/(-7)-2` (decreased by 2)

`(x)/(-7)-2=10` (is 10)

Now we can solve for x,:

`(x)/(-7)-2=10`

`(x)/(-7)=12`

`x=-84`

So, the original number is -84