SOLUTION: The sum of three consecutive odd numbers is 147. Find the numbers.

Algebra ->  Real-numbers -> SOLUTION: The sum of three consecutive odd numbers is 147. Find the numbers.      Log On


   

Question 280064: The sum of three consecutive odd numbers is 147. Find the numbers.
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Let the first odd number be given by X. The next consecutive odd is (X+2) and the next after that is (X+4)
You are told the sum of the three numbers is 147
147+=+X+%2B+%28X%2B2%29+%2B+%28X%2B4%29 collect like terms
147+=+3X+%2B+6 subtract 6 from each side
141+=+3X divide both sides by 3
47+=+X
So one number is 47; then next one is 47+2 = 49. The third odd number is 47+4 = 51
Check your answer. Does 147 = 47+49+51