Let x be the age of the middle sibling. Then the age of the youngest sibling (Lauren) is x - 1 and the age of the oldest sibling is x + 1.
Since the sum of their ages is 45, we can write:
(x - 1) + x + (x + 1) = 45
Simplifying the equation:
3x = 45
x = 15
Therefore, the age of the youngest sibling (Lauren) is x - 1 = 15 - 1 = 14.
Lauren is 14 years old.