# Question 89fd2

Feb 1, 2018

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:
$\left(x - 1\right) + x + \left(x + 1\right) = 54$

$\implies x - 1 + x + x + 1 = 54$

$\implies 3 x = 54$

$\implies x = \frac{54}{3} = 18$

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

And, the middle number is $x = 18$

Feb 1, 2018

$\text{middle number } = 18$

#### Explanation:

$\text{assuming the numbers to be whole then}$

$\text{the middle number is } x$

$\text{the number before it is } x - 1$

$\text{the number after it is } x + 1$

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

$\Rightarrow 3 x = 54$

$\text{divide both sides by 3}$

$\frac{\cancel{3} x}{\cancel{3}} = \frac{54}{3}$

$\Rightarrow x = 18 \leftarrow \textcolor{red}{\text{middle number}}$

$\text{the 3 numbers are "17,18" and } 19$