Let x = the first consecutive number Then x + 1 = the second consecutive number Then x + 2 = the third consecutive number Then x + 3 = the fourth consecutive number Then x + 4 = the fifth consecutive number
The sum of the 5 consecutive integers is 265
x + x + 1 + x + 2 + x + 3 + x + 4 = 265
Combine like terms.
5x + 10 = 265
Solve for x.
5x + 10 = 265 5x = 255 <-- Subtract 10 from each side x = 51 <-- Divide both sides by 5
So, the fifth consecutive integer is 51 + 4 or 55.