Answer: -28 and -4
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Step-by-step explanation:
Let x and y be the two integers such that |x| > |y|. This is another way of saying that x is further away from 0 compared to y.
Their quotient being 7 means x/y = 7 which rearranges to x = 7y
The sum of the integers is -32 which allows us to say....
x+y = -32
7y+y = -32
8y = -32
y = -32/8
y = -4
Use this y value to find x
x = 7y
x = 7*(-4)
x = -28
The two integers are -28 and -4.