Question

Miley is trying to solve the following riddle the sum of three consecutive integers is 84 what are the integers

Answer 1

Three consecutive numbers are 27,28,29

Explanation:

Given : The sum of three consecutive integers is 84.

To find : What are the integers?

Solution : Let three consecutive numbers
`x, x+1, x+2`

So, according to given situation 'sum of three consecutive integers is 84'.

`x+x+1+x+2=84`

`\Rightarrow 3x+3=84`

`\Rightarrow 3x=84-3=81`

`\Rightarrow x=(81)/(3)`

`\Rightarrow x=27`

So,
`x=27`

`x+1= 27+1=28`

`x+2=27+2=29`

Therefore, three consecutive numbers are 27,28,29