The product of two positive numbers is 35 and their difference is 2. what is the sum of the two numbers. show work and give correct answer

Step-by-step explanation:

Let x is the bigger  number

Let y  is the smaller  number

We have:  

=> xy = 35 (1)

=> x - y = 2

<=> x = y+2 (2)

Substitute (2) into (1) we have:

(y+2) y = 35

<=>

<=> y = 5 or y = -7

When y = 5 we get x = 5+ 2 = 7

When y =-7 we get x = -7 +2 = -5  

So we have two possible answers:

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step-by-step explanation: