Answer:
Let the "three consecutive odd integers" be x, (x+2), and (x+4).
"three times the difference of the third and first odd integer" means 3*( (x+4) - x )
"is" means equals
"five less than the second odd integer" means (x+2) - 5
3((x+4)-x) = (x+2) - 5
12 = x-3
15 = x
The three odd integers are 15, 17, 19.
Check:
Is 3(19-15) = 17-5 ?
3*4 = 12 ?
12 = 12 ?yes
Now, you may quickly realize that "three times the difference of the third and first odd integer" is 3*4=12, so "five less than the second odd integer" means that it is 12+5=17. Thus, the three odd integers are 15, 17, 19.
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