When the number is divided by 6 the remainder is five when the number is divided by 7 the remainder is 6 when the number is divided by 9 the remainder is 8 what is the number?

6x + 5 = k

7y + 6 = k

9z + 8 = k

6x + 5 = 7y + 6

6x = 7y + 1

Let y = 5; 6x = 36; x = 6

Let y = 11; x = 13

Let y = 17; x = 20

7y + 6 = 9z + 8

7y = 9z + 2

Let z = 13; 7y = 119; y = 17

x = 20; y = 17; z = 13 is a solution.

k = 125

125 is a solution.