Chapter 6, Problem 19CCSR

To determine

To find the greatest of four consecutive integers whose sum is 250.

Answer to Problem 19CCSR

64.

Explanation of Solution

Given:

Sum of four consecutive integers is 250.

Calculation:

Let the four consecutive integers be $x,x+1,x+2\&x+3.$

Now given that their sum is 250. That is,

  $\begin{array}{l}x+\left(x+1\right)+\left(x+2\right)+\left(x+3\right)=250\\ \Rightarrow 4x+6=250\\ \Rightarrow 4x=244\\ \Rightarrow x=61\end{array}$

Therefore greatest of four consecutive integers is,

  $\begin{array}{l}x+3=61+3\\ =64\end{array}$