Question

If one number is divide by 345,the remainder is 35.If the same number is divided by 15.What is the remainder

Answer 1

Solution 1:

Let N=345×q+35

=15(23q)+15×2+5.

So the remainder will be 5

Solution 2:

Let that one number is x

then x=345×a+35  

now 345÷15=23 , ie 23×15=345

So, x=15×23×a+35 =15×23×a+15×2+5

=15(23×a+2)+5

Then x will be divided by 15

The remainder will be 5