Question

find all possible numbers of form 517xy that are divisible by 89.

Answer 1

The Smallest 5 digit number sarting with 517 is 51700

So 51700/89, quotient = 580, remainder = 51700-580(89) = 80

89-80=9

So we will add 9 into 51700 so that it will be divided by 89

So the number 51709 divided by 89

The numbers divided by 89 are: 51709, 51709+89= 51798, 51709+2*89=51887......

So the possible numbers of the form 517xy which are divisible by 89 are 51709 and 51798