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Sagot :
The three consecutive odd numbers in order from smallest to largest are-
- 1st odd number = 47
- second odd number = 49
- third odd number = 51
What is consecutive odd numbers?
Consecutive numbers are numbers which follow each other in a frequent counting order or pattern.
- We all recognize that odd numbers would be those that cannot be totally divided by two.
- We can see that when we organise them in increasing order, the difference between the two is always 2.
- The numbers 3, 5, 7, 9, and 11 are examples of consecutive odd numbers so because difference at all between the predecessor-successor pair is 2, as in 5 - 3 = 2 and 7 - 5 = 2.
Now, as per the question;
Let the first odd number be 'n'.
Then, the second odd number will be '(n + 2)'.
And, the third odd number will be '(n + 4)'
Now, we have to take the two times the first = 2n.
one times the second = (n + 2)
three times the third = 3(n + 4).
Sum of all three is 296.
Thus,
2n + (n + 2) + 3(n + 4) = 296
Simplifying the equation;
2n + n + 2 + 3n + 12 = 296
6n = 296 - 14
6n = 282
n = 47 (1st odd number)
n +2 = 47 + 2 = 49 (second odd number)
n + 4 = 47 + 4 = 51 (third odd number)
Thus, the three consecutive odd numbers has be calculated.
To know more about the odd numbers, here
https://brainly.com/question/2263958
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