Question

The sum of three consecutive numbers is 243. Find the numbers.

Answer 1

With consecutive numbers, each new number is 1 larger than the previous one.

First number = x

Second number = x + 1

Third number = x + 1 + 1 = x + 2

The sum of three consecutive numbers is 243 means:

x + x + 1 + x + 2 = 243

3 x + 3 = 243

Subtract 3 to bith sides.

3 x = 240

x = 240 / 3 = 80

First number = 80

Second number = 80 + 1 = 81

Third number = 81 + 1 = 82

Check result.

80 + 81 + 82 = 243