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7, 8, 9

Let x be the smallest of the three integers; thus, the integers are x, x+1, x+2. From the problem, we get:

2x=(x+2)+5=x+7

2x-x=7

x=7

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Q: Twice the smallest of three consecutive integers is five more than the largestfind the integers?
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Five times the smallest of three consecutive even integers is 10 more than twice the largest. find the integers?

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-- Call the three consecutive integers (x-1), x, and (x+1).-- Twice the smallest is 2(x-1) or (2x-2).-- 12 more than the largest is (x+1)+12 or (x+13).-- These are equal, so2x - 2 = x + 13Subtract 'x' from each side of the equation:x - 2 = 13Add 2 to each side:x = 15 .-- The smallest of the three numbers is (x-1) = 14.-- The three consecutive integers are 14, 15, and 16.-- Twice the smallest is 28.-- 28 is 12 more than 16.QED, man, QED !


If sum of three consecutive even integers is fourteen less than twice the smallest of these integers. What is the smallest integer?

Suppose the smallest integer is A. The next two even numbers are A+2 and A+4. Using the information supplied we can form an equation: 2A - 14 = A + A+2 + A+4 Rearranging: 2A - 14 = 3A + 6 -20 = A So the three integers are -20, -18 and -16.


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This equation works out to 2x = x + 11. This is because the three consecutive odd integers can be represented by x, x + 2, and x + 4. From the equation 2x - x = 11, so x = 11. Checking, 2 times 11 = 22 which is 7 more than 15. The three integers are 11, 13 and 15.


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?

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