Question

The sum of three consecutive odd numbers is 63. Find the numbers.

Answer 1

Let the smallest odd number be x. Then, the next two consecutive odd numbers are:

x + 2 and x + 4.

The sum of these three numbers is given as 63

x + (x + 2) + (x + 4) = 63.

Simplify the equation:

x + x + 2 + x + 4 = 63.

3x + 6 = 63

Subtract 6 from both sides:

3x = 57

Divide by 3: x = 19

The three consecutive odd numbers are: 

x = 19, x + 2 = 21, x + 4 = 23.

The three consecutive odd numbers are: 19, 21 and 23