Answer :
Answer:
Step-by-step explanation:
To solve this problem, let's first define the three consecutive even integers as x, x+2, and x+4.
According to the given information, fifty-eight more than the second integer (x+2) is equal to the difference between the third integer (x+4) and ten times the first integer (10x).
Mathematically, we can represent this as:
(x+2) + 58 = (x+4) - 10x
Solving this equation step by step:
x + 2 + 58 = x + 4 - 10x
x + 60 = 4 - 9x
60 = -5x
x = -12
Now that we have found the value of the first integer x, we can calculate the other two consecutive even integers:
First integer: x = -12
Second integer: x + 2 = -12 + 2 = -10
Third integer: x + 4 = -12 + 4 = -8
Therefore, the three consecutive even integers are -12, -10, and -8.
