The sum of 3 consecutive odd numbers is 69. What is the third number in this sequence?
Accepted Solution
A:
------------------------------------------------------------- Define x : ------------------------------------------------------------- Let the numbers be x, x+2 and x+4
------------------------------------------------------------- Construct equation : ------------------------------------------------------------- The sum of these number is 69 x + x + 2 + x + 4 = 69
------------------------------------------------------------- Solve x: ------------------------------------------------------------- x + x + 2 + x + 4 = 69 3x + 6 = 69 3x = 63 x = 21
------------------------------------------------------------- Find the numbers : ------------------------------------------------------------- x = 21 x+ 2 = 23 x + 4 = 25
--------------------------------------------------------------------------- Answer: The third number in the sequence is 25. ----------------------------------------------------------------------------