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The sum of three consecutive even integers is less than 84. find the set of these three integers with the greatest sum.
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Apr 27, 2018
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The sum of three consecutive even integers is less than 84. find the set of these three integers with the greatest sum.
Mathematics
high-school
Andrey Kon
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Andrey Kon
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Let the 3 numbers be x, x+2 and x+4, then
x + x + 2 + x + 4 < 84
3x + 6 < 84
3x < 84-6
3x < 78
x < 26
so highest possible value of x is 24 so lets add up the 3 numbers to
check if the sum is < 84
we have 24 + 26 + 28 = 78
so answer is 24, 26 and 28.
Erik Giberti
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May 2, 2018
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Erik Giberti
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