Integerific!
Algebra
Level
2
Find the three consecutive even integer if four times the first integer minus the third is 2 times the second integer plus 6.
None
14, 16, 18
-6, -4, -2
Both
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1 solution
Let:
x - first even integer
x+2 - second even integer
x+4 - third even integer
Equating this 3 based on the problem
4 ( x ) + ( x + 4 ) = 2 ( x + 2 ) + 6 4 x − x − 4 = 2 x + 4 + 6 x = 1 4 x + 2 = 1 6 x + 4 = 1 8