Q:

The sum of four consecutive integers is - 18. What is the greatest of theseintegers?DQuestion 3

Accepted Solution

A:
Answer:-3The problem:The sum of four consecutive integers is - 18. What is the greatest of these integers?Step-by-step explanation:If n is the first integer, then n+1 is the second integer, n+2 is the third integer, and n+3 is the fourth integer in consecutive order.For example if n=8, we are saying n+1=9,n+2=10, and n+3=11, which I think you can see that 8,9,10,11 are consecutive.So the sum is -18 which means:n+(n+1)+(n+2)+(n+3)=-184n+6=-18Subtract 6 on both sides:4n=-18-6Simplify:4n=-24Divide both sides by 4:n=-6If n=-6,then:n+1=-6+1=-5n+2=-6+2=-4n+3=-6+3=-3.So the 4 consecutive integers whose sum is -18 is: -6,-5,-4, and -3.The greatest of these integers is -3.