61, 63, 65

solving using algebra

x = first number

x+2 = second number

x+4 = third number

x + (x+2) + (x+4) = 189

3x + 6 = 189

3x = 183

x = 61

x+ 2 = 63

x + 4 = 65

Alternative method for solving the sum of consecutive numbers

divide the sum by the number of numbers you are adding together

this is the middle number

189/3 = 63

since this is the middle number the other two consecutive odd numbers are 61 and 65