Question

(504k-11) is divisible by 23​

Answer 1

Answer:

k=17

Step-by-step explanation:

504k-11  is a multiple of 23

the next multiple of 23 nearer to 504 is 506 = 22*23

so we can write,

504k - 11

= 506k - 11 - 2k

ie, 506k - (11+2k) is a multiple of 23

   we know 506k is divisible by 23 and so to get an integer value for the above expression,

it implies that 11+2k is a multiple of 23

so, the least multiple is 1 so we can write that,

11+2k = 23*1

=> 2k= 23-11

        k= 17