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

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Answer 1 · 2018-05-31T12:59:58

#-84#

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=10+2#

#x/-7=12#

#x=12*-7#

#=-84#

So, the original number is #-84#.