SOLUTION: find three consecutive integers such that the sum of the three is equal to 2 times the sum of the first two integers

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: find three consecutive integers such that the sum of the three is equal to 2 times the sum of the first two integers       Log On


   

Question 937436: find three consecutive integers such that the sum of the three is equal to 2 times the sum of the first two integers
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
z = y + 1
y = x + 1
x + y + z = 2(x + y)
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put the system of linear equations into standard form
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y - z = -1
x - y = -1
-x - y + z = 0
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solution:
x = 1
y = 2
z = 3
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