the sum of three consecutive even integers is 6 subtracted from 4 times the middle number. Find the 3 numbers
1 answer:
Answer:
The three consecutive even integers are 4,6,8
Step-by-step explanation:
Let the three consecutive even integers be 2x, 2x+2, 2x + 4
Middle number = 2x +2
2x + 2x+2 + 2x + 4 = 4* (2x+2) - 6
6x + 6 = 4*2x + 4*2 - 6
6x + 6 = 8x + 8 -6
6x + 6 = 8x + 2
6x - 8x = 2 -6
-2x = -4
x = -4/-2
x = 2
The three consecutive even integers are
2x = 2*2 = 4
2x+2 = 2*2 +2 =4 + 2 = 6
2x + 4 = 2*2+4 = 4+4 = 8
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