when positive integer n is divided by 7 , the remainder is 1 . when n is divided by 11 , the remainder is 5 . what is the smallest positive integer k such that k + n is a multiple of 77 ?
"n = 7 p + 1 = 11 q + 5 n + 6 = 7 p + 7 = 11 q + 11 n + 6 is a multiple of 7 and 11 , so it is a multiple of 77 . the answer is c ."
subtract(77, reminder(5, 11))