Three consecutive integers add up to 51 . What are these integers?

Given:

Three consecutive integers add up to 51.

To do:

We have to find the integers.

Solution:

Let the smallest integer be $x$.

This implies,

The three consecutive integers are $x, x+1, x+2$.

According to the question,

$x + x + 1 + x + 2 = 51$

$3x + 3 = 51$

$3x = 51-3$

$3x = 48$

$x = \frac{48}{3}$

$x = 16$

So, the numbers are

$x = 16$

$x + 1 = 16 + 1 = 17$

$x + 2 = 16 + 2 = 18$

The required integers are $16, 17$ and $18$.