Respuesta :
Answer:
the four consecutive odd integers are: 51, 53, 55, 57
Step-by-step explanation:
The four consecutive odd integers that the sum of the smallest two added to four times the largest to give a product of 92 are 11, 13, 15, and 17.
What are consecutive numbers?
Consecutive numbers are numbers that follow each other repeatedly in a specified continuous manner. In the given question, they talked about consecutive odd integers.
So, the four consecutive numbers are:
- x + (x +2) + (x + 4) + (x + 6)
So that if the value of x = 1, the four consecutive odd numbers can now be:
= 1, 3, 5 and 7
However, we are being told that the sum of the smallest two is added to four times the largest.
i.e.
x + (x +2) + 4(x+6) = 92
2x + 2 + 4x + 24 = 92
6x + 26 = 92
6x = 92 - 26
6x = 66
x = 11
Now, the four consecutive odd integers are:
x = 11
x + 2 = 13
x + 4 = 15
x + 6 = 17
Learn more about consecutive numbers here:
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