Answer:
- 1, 1 , 3
Step-by-step explanation:
Assuming you require to find the consecutive odd numbers.
let the first odd number be n
then the next 2 consecutive odd numbers are n + 2 and n + 4 , that is
n , n + 2 , n + 4 are three consecutive odd numbers
the sum of the second and third
= n + 2 + n + 4
= 2n + 6
7 more than three times the first
= 3n + 7
equating the two expressions gives
3n + 7 = 2n + 6 ( subtract 2n from both sides )
n + 7 = 6 ( subtract 7 from both sides )
n = - 1
then
n + 2 = - 1 + 2 = 1
n + 4 = - 1 + 4 = 3
The three consecutive odd numbers are - 1 , 1 , 3
