Question

The number m divided by 10 leaves a remainder of 1, and the number n divided by 10 leaves a remainder of 4. What will be the remainder of m+n divided by 5?

PLEASE HELP

Answer 1

0

Explanation:

The number m can be written as ...

m = 10a +1

The number n can be written as ...

n = 10b +4

When their sum is divided by 5, the quotient is ...

(m+n)/5 = (10a +1) +(10b +4))/5 = (10a + 10b + 5)/5 = 2a+2b +1

The remainder is zero.