SOLUTION: the sum of two numbers is equal to twice their difference. If one number is 4 more than the other, find the number

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Question 256284: the sum of two numbers is equal to twice their difference. If one number is 4 more than the other, find the number
Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
If one number is 4 more than the other, let:
x = one number
x+4 = the other number

Now, if the sum of these two numbers is equal to twice their difference, the equation then becomes: x%2B%28x%2B4%29=2%28x-%28x%2B4%29%29

Now solve for x.
x%2B%28x%2B4%29=2%28x-%28x%2B4%29%29
2x%2B4=2%28x%2B%28-x-4%29%29
2x%2B4=2%28-4%29
2x=-8-4
2x=-12
x=-6

Check the answer:
x%2B%28x%2B4%29=2%28x-%28x%2B4%29%29
-6%2B%28-6%2B4%29=2%28-6-%28-6%2B4%29%29
-12%2B4=2%28-6%2B6-4%29
-8=2%28-4%29
-8=-8 The answer checks!

Therefore, your numbers are -6 and -2.
x=-6 and x+4=-6+4=-2