Answer:
565, 567, 569
Step-by-step explanation:
let 'n' be an odd integer, then (n + 2) is the next odd interger, and (n + 4) is the third consecutive integer.
Ex: If 3 is our first, then 5, followed by 7
3 + 2 = 5,
3 + 4 = 7
So we have
n + (n + 2) + (n + 4) = 1,701
Now simplify and solve for n
n + n + 2 + n + 4 = 1,701 (we can drop the parenthesis)
3n + 6 = 1,701 (combine like terms)
3n = 1,695 (subtract 6 from both sides to isolate the n term)
n = 565 (divide both sides by 3 to isolate n)
n = 565
n + 2 = 567
n + 4 = 569
