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vekshin1
3 years ago
11

The sum of 6 consecutive integers is 204. what is the fourth number in this sequence?

Mathematics
1 answer:
zloy xaker [14]3 years ago
8 0

Let x by the smallest of the 6 integers. Then

x+(x+1)+(x+2)+(x+3)+(x+4)+(x+5)=204

\implies6x+15=204

\implies6x=189

But 189 is odd, so it cannot be divisible by 6, which means x is not an integer...

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