Answer: 8 is the largest
The three consecutive integers are 4,6,8.
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Explanation:
- x = first even integer
- x+2 = second even integer after x
- (x+2)+2 = x+4 = third even integer after x+2
There's a gap of 2 units between adjacent neighboring numbers. Consecutive even integers are numbers like 2,4,6,... or 10,12,14,... They are even numbers and they follow one right after another.
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The sum of the first and twice the second is 8 more than the third, so,
first + 2*(second) = (third) + 8
We'll plug in the expressions defined above and solve for x
x + 2*(x+2) = (x+4) + 8
x + 2x+4 = x+4+8
3x+4 = x+12
3x-x = 12-4
2x = 8
x = 8/2
x = 4 is the first number
x+2 = 4+2 = 6 is the second number
x+4 = 4+4 = 8 is the third number and the largest
