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01-10-2016
Mathematics

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four consecutive integers have sum of 214. find the smaller integer of the set.

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Kaustav Kaustav

01-10-2016

Let the four consecutive integers be x, x+1, x+2, x+3.
Their sum is 214.
So,
x+x+1+x+2+x+3=214
x+x+x+x=214-1-2-3
4x=208
x=208/4
x=52
Hence, the integers are
x=52
x+1=52+1=53
x+2=52+2=54
x+3=52+3=55

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