Question

the sum of two consecutive odd numbers is 57 find the numbers

Answer 1

Answer:

an odd integer can be described as 2*n + 1 for some n, n an integer. 

Therefore, we have to find n such that 

(2*n + 1) + (2*n + 3) + (2*n + 5) = 57. Using algebra, we conclude that 

6*n + 9 = 57, or 6*n = 48. Therefore, n = 8 and the numbers are 

17, 19, 21. The crux of the problem is modeling the odd integer as 2*n + 1

got it??

x+(x+2)+(x+4)=57

     3x+6=57

    3x=51

    x=17