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Find three consecutive odd intergers such that the sum of the largest and twice the smallest is 25

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Let the consecutive odd integers be:

x , x + 2, x + 4. Each integer increases by 2

Sum of largest and twice the smallest = 25

(x + 4) + 2*(x) = 25

x + 4 + 2x = 25

x + 2x = 25 - 4

3x = 21

x = 21/3

x = 7

Recall the consecutive odd integers are x, x + 2, x +4

7, 7 + 2 = 9, 9 + 2= 11

7, 9, 11.
User Nat Chouf
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