SOLUTION: The sum of three integers is 25. The first integer is 4 times the sum of the second and third integer. The second is twice the opposite of the third. What are the integers?

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Question 4071: The sum of three integers is 25. The first integer is 4 times the sum of the second and third integer. The second is twice the opposite of the third. What are the integers?
Answer by gsmani_iyer(178) (Show Source):
You can put this solution on YOUR website!

Let the third integer be = x
So the second integer is = -2x (Twice the opposite of the third)
the first integer is = (4)*(x-2x) (four times the sum of 1st & 2nd integer)
= 4x - 8x = -4x
the sum of all the 3 integers = -4x - 2x + x = -5x
-5x = 25
So x = = -5
Second integer = -2x = 10
First integer = -4x = 20
So the integers are 20, 10, -5. Answer
I hope this is clear to you

gsm