Answer: The three consecutive integers are 25, 26 and 27
Explanation:
Let the three consecutive integers be represented by n, (n + 1) and (n + 2)
The sum of the integers are therefore written as:
n + (n + 1) + (n + 2) = 78
3n + 3 = 78
Subtract 3 from both sides
3n = 78 - 3
3n = 75
Divide both sides by 3 to get the value of n
n = 75/3
n = 25
If n = 25, then n + 1 = 25 + 1 = 26 and n + 2 = 25 + 2 = 27
The three consecutive integers are therefore 25, 26 and 27.