Question

Question #89fd2

Answer 1

The middle number is : `x= 18`

Explanation:

Given that the three numbers are consecutive.

If the middle number is `'x'`,

the first number will be `'x-1'`

and the last number will be `'x+1'`

Given:
`(x-1)+x+(x+1) = 54`

`=> x -1 +x + x + 1 =54`

`=> 3x = 54`

`=> x = 54/3 = 18`

So the three consecutive numbers that sum up to 54 are : 17, 18 , and 19.

And, the middle number is `x=18`

Answer 2

`"middle number "=18`

Explanation:

`"assuming the numbers to be whole then"`

`"the middle number is "x`

`"the number before it is "x-1`

`"the number after it is "x+1`

`rArr"sum "=xcancel(-1)+x+xcancel(+1) =54`

`rArr3x=54`

`"divide both sides by 3"`

`(cancel(3) x)/cancel(3)=54/3`

`rArrx=18larrcolor(red)"middle number"`

`"the 3 numbers are "17,18" and "19`