Respuesta :
Answer:
C
Step-by-step explanation:
1. Let x be the odd integer. Let y be the sum.
x + (x + 1) + (x + 2) = y
3x + 3 = y
Adding two consecutive integers to an odd integer will result in an even integer.
So, you can eliminate choices B and D since they are odd.
Lastly, plug in choices A and C for y and choose the answer that makes x an integer.
Choice C would give you the correct result.
3x + 3 = 44562
3x = 44559
x = 14853
The odd integer and the two consecutive integers whose sum is 44,562 are 14,853, 14,854, and 14,855 respectively.
Let
- Small odd integer = x
- Next consecutive integer = x + 1
- Next two consecutive integer = x + 2
- Sum of consecutive integers = 44,562
Sum:
x + (x + 1) + (x + 2) = 44,562
x + x + 1 + x + 2 = 44, 562
3x + 3 = 44,562
- Subtract 3 from both sides
3x = 44,562 - 3
3x = 44,559
- divide both sides by 3
x = 44,559 / 3
x = 14,853
Therefore, the odd integer and the two consecutive integers whose sum is 44,562 are 14,853, 14,854, and 14,855 respectively.
Learn more about consecutive numbers:
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