Chapter 4, Problem 15CCSR

To determine

Product of two consecutive integers whose sum is -15

Answer to Problem 15CCSR

Product of two integers is 56

Explanation of Solution

Given :

Sum of two consecutive integers is -15

Let two consecutive integers are n and n+1

Now, according to question.

  $\begin{array}{l}n+\left(n+1\right)=-15\\ 2n+1=-15\\ 2n=-16\\ n=-8\end{array}$

Next integer will be,

  $\begin{array}{l}n+1\\ =-8+1\\ =-7\end{array}$

Therefore, product of these two integers will be,

  $-7\times -8=56$