Question

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

Answer 1

`24`

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`