3. The sum of three consecutive integers is 1,623.

The integers are 540, 541 and 542.

Step-by-step explanation:

The integers are x, x+1 and x+2 so

x + x+1 + x+2 = 1623

3x + 3 = 1623

3x = 1620

x = 540.

540, 541, 542

Step-by-step explanation:

let the number be n

hence the 3 consecutive numbers may be expressed as:

n, n+1, n+2

it is given that the sum of the 3 numbers is 1623

hence,

n + (n+1) + (n+2) = 1623

n + n + 1 + n + 2 = 1623

3n + 3 = 1623

3n = 1623 - 3

3n = 1620

n = 1620 / 3

n = 540

hence the numbers are

540, (540 + 1), (540 + 2)

or

540, 541, 542