STEP-BY-STEP SOLUTION:
Let number no. 1 ( smallest integer of the five integers ) = x
Therefore:
Number no. 4 = x + 6
Number no. 5 = x + 8
x + x + 8 = 3 ( x + 6 ) - 1
2x + 8 = 3x + 18 - 1
2x - 3x = 18 - 1 - 8
- x = 9
x = 9
Equations for each integer -
Number no. 1 = x = 9
Number no. 2 = x + 2 = 9 + 2 = 11
Number no. 3 = x + 4 = 9 + 4 = 13
Number no. 4 = x + 6 = 9 + 6 = 15
Number no. 5 = x + 8 = 9 + 8 = 17
FINAL ANSWER:
Therefore, the five consecutive odd integers are 9, 11, 13, 15 and 17.
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