Answer :
Final answer:
The sum of two consecutive even numbers being 186 can be solved by setting up a simple equation. The first number is represented by 'X' and the next consecutive even number by 'X + 2'. Solving this equation, we find the numbers to be 92 and 94.
Explanation:
The sum of two consecutive even numbers is 186. We can figure this out by setting up a simple equation. Let X represent the first even number. Because even numbers are two apart, X + 2 would represent the next consecutive even number. So, we can write this equation: X + (X + 2) = 186.
By solving this equation, we first combine like terms, getting 2X + 2 = 186. Subtract 2 from both sides to get 2X = 184. Dividing both sides by 2 gives us X = 92.
So, the two consecutive even numbers that sum to 186 are 92 and 94.
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92 and 94.
The two consecutive numbers are 92 and 94.
STEP-BY-STEP EXPLANATION:
Let first even number = x
Second even number = x + 2
x + x + 2 = 186
2x + 2 = 186
2x = 186 - 2
2x = 184
x = 184 / 2
x = 92
Second even number = x + 2 = 92 + 2 = 94