Question

if 93/4=23, what is the base of the number system

Answer 1

Answer:

wrong  data

if 93/4  = 24  then Base would be 13

Explanation:

Given 93/4 = 24

To find :  Base of The number System

Let say Base of the number System = a

(93)ₐ = (9 * a¹  + 3 *a⁰)₁₀  = (9a + 3)₁₀

(4)ₐ = (4 *a⁰)₁₀  = (4)₁₀

(23)ₐ = (2 * a¹  + 3 *a⁰)₁₀  = (2a + 3)₁₀

=>  (9a + 3)₁₀/(4)₁₀  = (2a + 3)₁₀

=> (9a + 3)₁₀ = (8a + 12)₁₀

=> a = 9

for base 9  max digit would be 8  

so There is something wrong in data.

if Data is

93/4  = 24 Then

(9a + 3)₁₀ = (8a + 16)₁₀

=> a = 13

Then Base Would be 13

(93)₁₃ = 120₁₀

(24)₁₃ = 30₁₀