Question

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

Answer 1

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

Answer 2

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.