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mamaluj [8]
3 years ago
5

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

Mathematics
2 answers:
puteri [66]3 years ago
5 0
The sum of 4 consecutive integers is 198. What is the fourth number in this sequence?

lana [24]3 years ago
3 0

Answer: 51.

Step-by-step 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=\dfrac{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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