Answer:
,
and
Explanation:
Let
smallest consecutive even integer.
Since the second and third consecutive even integers can be expressed by our smallest even consecutive integer, we can express them as:
Second consecutive even integer =
Third consecutive even integer =
From "the sum of the second and third is 3 times the first integer", we can write:
(collect like-terms)
∴ The first consecutive even integer is 6
Now, we can use substitution to find the values of the second and third consecutive even integers:
Second consecutive integer =
Third consecutive integer =
∴ The three consecutive even integers are
,
and
.
Hope this helps :)