Question

The sum of two integers is (-32). Their quotient is 7. What are the integers?

Answer 1

Answer:  -28 and -4

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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.