Answer:
Let the required number be x
The quotient of a number and -7, decreased by 2, is 10
According to the above problem, we get
[tex] \frac{x}{( -7)} - 2 = 10 \\ \frac{x}{( - 7)} = 10 + 2 \\ \frac{x}{( - 7)} = 12 \\ x = ( - 7) \times 12 \\ \boxed{x = - 84}[/tex]
Therefore, the required number is -84.
