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Whats the answer to Find three consecutive even integers such that the sum of the smallest and twice the second is 20 more than the third?
Let the smallest integer be x. Since the consecutive even integers differ by 2, we have
x + 2(x + 2) = (x + 4) + 20
3x + 4 = x + 24 (subtract x and 4 from both sides)
3x - x - 4 + 4 = x - x - 4 + 24
2x = 20 (divide by 2 to both sides)
x = 10
Thus, the three consecutive even integers are 10, 12, and 14.
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