Answer to Question #26099 in Combinatorics | Number Theory for kim
find the base of the numeral system in which 26-18=9(express your answer in base 10).
The number 26 in its respective base b is equal to 2*b+6. If the number 26 were in base 10, then it would be equal to 2*10+6. The number 19 in its respective base b is equal to 1*b+9. If the number 19 were in base 10, then it would be equal to 1*10+9. Compose the equation 2b+6-(b+8)=9, b-2=9, b=11. Therefore the base of system is 11.