Question

A number is divided by 406 leaves remainder 115. what will be the reminder when it will be divided by 29?

Answer 1

Let the number y is divided by 406 and it leaves remainder 115.

Let 406 was multiplied with x.

we can write y as

y= 406x + 115

or y= 29×14x + 115

y= 29×14x + 29×3 + 28

y= 29(14x+3) +28.

so remainder is 28