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The sum of 4 consecutive integers is 198. What is the fourth number in this sequence?

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User Pirkil
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The sum of 4 consecutive integers is 198. What is the fourth number in this sequence?
The sum of 4 consecutive integers is 198. What is the fourth number in this sequence-example-1
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User Zhfkt
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Answer: 51.

Explanation:

Let the four consecutive be x , x+1 , x+2 , x+3 ,x+4.

Then , According to the given question, we have


x+x+1+x+2+x+3=198\\\\\Rightarrow\ 4x+6=198\\\\\Rightarrow\ 4x=198-6\\\\\Rightarrow\ 4x=192\\\\\Rightarrow\ x=(192)/(4)\\\\\Rightarrow\ x=48

Now, the fourth number will be :-


48+3=51

Hence, the fourth number will be 51.

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User Rytis I
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