Question

the number 61408 and 56789 when divided by a certain no. of 3 digit the remainder in each case is k. what is the value of k

Answer 1

Two given numbers are 61408 and 56789 which will have same remainder ‘k’

This means, (61408-k) and (56789-k) will have common factors

When two numbers have common factors, then their difference will also have common factors.

(61408-k) – (56789-k) = 4619

Now, factors of 4619 = 31 x 149

Here, 149 is the three digit number that divides 61408 and 56789 and leaves the same remainder k

So, k = mod of 61408 (or) mod of 56789

Remainder k = 20

Answer 2

Step-by-step explanation:

the number 61408 and 56789 when divided by a certain no. of 3 digit the remainder in each case is k. what is the value of k