To find the second number in a sequence of 5 consecutive integers that sum up to 270, we can denote the first integer as x. The next four consecutive integers will then be x + 1, x + 2, x + 3, and x + 4.
The sum of these integers can be expressed as:
x + (x + 1) + (x + 2) + (x + 3) + (x + 4) = 270
This simplifies to:
5x + 10 = 270
Next, we subtract 10 from both sides:
5x = 260
Now, we divide both sides by 5:
x = 52
Thus, the 5 consecutive integers are: 52, 53, 54, 55, and 56. The second number in this sequence, which is 53, is the answer we were looking for.
In conclusion, the second number in the sequence of 5 consecutive integers that sum to 270 is 53.