Answer: The numbers are 14, 16 and 18.
Step-by-step explanation: First thing to note is that consecutive even numbers have a difference of 2 units between every two terms. That is, if the first number is a, the next would be a + 2, and the next would be a + 4, and so on.
Therefore the three consecutive even numbers shall be a, a + 2, and a + 4.
Our equation now becomes;
a + a + 2 + a + 4 = 48
3a + 6 = 48
Subtract 6 from both sides of the equation
3a = 42
Divide both sides of the equation by 3
a = 14
Therefore, the numbers are 14, 16 and 18.