Let's begin by listing out the information given to us:
Let the four consecutive integers be: x, x + 1, x + 2, x + 3
The sum of four consecutive integers is 54 more than the least of the Integers
Mathematically,
x + x + 1 + x + 2 + x + 3 = 54 + x
4x + 6 = 54 + x
Put like terms together by: Subtracting x & 6 from both sides, we have:
4x - x = 54 - 6
3x = 48
Divide both sides by 3, we have:
x = 16
a. Find the smallest integer
The smallest integer is x = 16
b. Find the largest integer
The largest integer is (x + 3) = 16 + 3 = 19