three consecutive odd integers are such that if the largest is subtracted from twice their sum, the result is 93 ,then the smallest odd integer is
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Step-by-step explanation:
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Answer:
The three integers are 45, 46, 47.
Step-by-step explanation:
Let the:
1st integer = x
2nd integer = x + 1
3rd integer = x + 2
- Now using these variables, we can write an equation based on the description.
[x + 2(x + 2)] - [x - 1] = 93
This equation is saying that the sum of two numbers and another number has a difference of 93. The positive difference suggests that the sum of the two numbers is the larger value.
Now we solve for x:
- Distribute to get rid of parentheses.
x + 2x + 4 - x - 1 = 93
2x + 3 = 93
- Subtract 3 on both sides of the equation.
2x = 90
- Divide both sides of the equation by 2.
x = 45
- Finally, substitute this value of x into the variables to get your integers.
I hope I have given you the answer you were looking for.
(If any doubts regarding the question and or answer; please feel free to express it in the comment section given below!)
HAPPY LEARNING!
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