# If the average of 5 consecutive integers is 12, what is the sum of the least and greatest of the 5 integers?

##### 1 Answer

May 26, 2017

#### Explanation:

#"let the 5 consecutive integers be"#

#n,color(white)(x)n+1,color(white)(x)n+2,color(white)(x)n+3,color(white)(x)n+4#

#rArr"sum of the 5 integers" =12xx5=60#

#=n+(n+1)+(n+2)+(n+3)+(n+4)=5n+10#

#rArr5n+10=60larr" and solving for n"#

#rArrn=10#

#rArr10,color(white)(x)11,color(white)(x)12,color(white)(x)13,color(white)(x)14larrcolor(red)" are the 5 integers"#

#"sum of least and greatest "=10+14=24#