Answer:
The 3 consecutive even numbers are 60, 62 and 64 and the value of the greatest is 64.
Explanation:
If the numbers are consecutive even numbers, it means that the next number will be 2 more than the previous one.
Let the 1st number be x, then other 2 consective numbers will be x + 2 and x + 4.
We're told that the sum of the 3 consecutive even numbers is equal to 186, our equation can then be written as shown below;
[tex]x+(x+2)+(x+4)=186[/tex]Let's go ahead and collect like terms and solve for x;
[tex]\begin{gathered} 3x+6=186 \\ 3x=186-6 \\ 3x=180 \\ x=\frac{180}{3} \\ \therefore x=60 \end{gathered}[/tex]So our 1st number is 60.
Let's go ahead and find the other 2 numbers;
1st number: x + 2 = 60 + 2 = 62
2nd number: x + 4 = 60 + 4 = 64
So the 3 consecutive even numbers are 60, 62 and 64 and the value of the greatest is 64.
