Three consecutive integers have a sum of 78. How do you find the integers?

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Answer 1 · 2016-11-05T08:33:34

$25$ , $26$ and $27$ are the three consecutive integers.

Let the numbers be represented as $x$ , $x+1$ and $x+2$ .

We can write the equation:

$x+(x+1)+ (x+2)=78$

Opening the brackets and simplifying:

$x+x+1+x+2=78$

$3x+3=78$

Subtract $3$ from both sides.

$3x=75$

Divide both sides by $3$ .

$x=25$

Since the three consecutive integers are $x$ , $x+1$ and $x+2$ , replace $x$ with $25$ .

$:. 25$ , $26$ and $27$ are the three consecutive integers.