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

Question

Mathematics

Michael George

19 March, 21:59

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

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Answers (1)

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Zack · Answer 1

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