SOLUTION: The product of two integers is 32. One integer is twice the other. What are the integers? Please help!

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Question 92397: The product of two integers is 32. One integer is twice the other. What are the integers? Please help!
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=1st integer, y=2nd integer

Translation:
Equation 1:x%2Ay=32 "The product of two integers is 32"

Equation 2:y=2x "One integer is twice the other"

x%2Ahighlight%282x%29=32 plug in y=2x into equation 1

2x%5E2=32 Multiply

x%5E2=16 Divide both sides by 2

Take the square root of both sides

So we get x=4 or x=-4


Now plug in x=4 to find y

y=2%284%29=8

So when x=4, y=8



Now plug in x=-4 to find y

y=2%28-4%29=-8

So when x=4, y=-8


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Answer:

So we have 2 possible pairs of numbers

The two numbers could be either
4 and 8
or
-4 and -8