Find three consecutive odd integers such that the sum of the largest and twice the smallest is 25.
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Step-by-step explanation:
Let three consecutive odd integer's be x , x + 2 and x + 4.
Therefore,
Smallest number = x
And,
Largest number = x + 4.
According to the question,
Largest number + 2 ( smallest number ) = 25
=> x +4 + 2 ( x ) = 25
=> x + 4 + 2x = 25
=> 3x + 4 = 25
=> 3x = 25 - 4
=> 3x = 21.
=> X = 21/3 = 7.
Therefore,
First number = X = 7
Second number = x + 2 = 7+2 = 9
And , Third number = x + 4 = 7 + 4 = 11.
Hope it will help you :)
=> 3x = 17
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