Answer:
9, 11, 13
Explanation:
We can rephrase an odd number into an algebraic equation of (2n+1)
Therefore, 3 consecutive odd numbers would be written as:
(2n+1), (2n+3), (2n+5)
We can then rewrite the question as:
3 x (2n+1) = 2 x (2n+5) + 1
Work out the equation to find n:
6n + 3 = 4n + 10 + 1
(minus 4n from both sides)
2n + 3 = 11
(minus 3 from both sides)
2n = 8
(divide both sides by 2 to get)
n = 4
To find the original 3 consecutive numbers, we just input (4) into (2n+1), (2n+3), (2n+5) to get:
(8+1), (8+3), (8+5)
= 9, 11 and 13