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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 $18$.
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