Find the three consecutive integers whose sum is 78.

The correct answer is 25,26,27

Let the first number be x
∴ second number is x+1 and third number is x+2
Sum of these 3 numbers = x + (x+1) + (x+2) = 78
∴ x + x + 1 + x + 2 = 78
∴ 3x + 3 = 78
Subtracting 3 from both sides
3x + 3 - 3 = 78 - 3
∴ 3x = 75
Dividing by 3 on both sides
x = 25
First number = 25, Second number = 26 and Third number = 27