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Well, honey, if you're looking for a pair of consecutive integers that add up to 45, then it's simple math. Just take 22 and 23. Those two bad boys will give you a total of 45. So there you have it, now go impress someone with your newfound integer knowledge.
Let's denote the two consecutive integers as x and x+1. The sum of these two integers is x + (x+1) = 45. Simplifying this equation, we get 2x + 1 = 45. Solving for x, we find that x = 22. Therefore, the two consecutive integers are 22 and 23, as 22 + 23 = 45.
Ah, what a happy little math problem we have here! If we take a moment to think about it, we'll see that the two consecutive integers that add up to 45 are 22 and 23. Just like painting a beautiful landscape, sometimes all it takes is a gentle brushstroke of logic to reveal the answer right in front of us.
Two consecutive integers means one is 1 more than the other integer. You can solve the problem by letting x represesnt one of the integers and x + 1 the next integer. Set up the equation and solve:
x + (x + 1) = 45 (next simplify)
2x + 1 = 45 (next subtract 1 from each side of the equation)
2x = 44 (next divide both sides of the equation by 2 to solve for the first integer)
x = 22 (this the first integer, the next is x + 1 which is 23)
The two integers are 22 and 23 (22 + 23 + 45).
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