The sum of three consecutive odd integers is 72 more than the smaller integer. What are the integers? plz show work.ASAP

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galacticdragon galacticdragon

03-09-2017
Mathematics

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The sum of three consecutive odd integers is 72 more than the smaller integer. What are the integers? plz show work.ASAP

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Archimade Archimade · Answer 1 · 2017-09-03T03:03:04+02:00

Archimade Archimade

03-09-2017

Let the consecutive odd no. be X, Y, and Z.
Since they are consecutive,
Y = X+2 and Z = Y+2 = X+4.
Now,
X+Y+Z = X+72 (according to question)
Substituting,
3X + 6 = 72
3X = 72 - 6 = 66
Therefore,
X = (66/3) = 22
Y = 24
Z = 26

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