Question

X and y are divided by five remainder are3 and 4 x+y divided by 5 what is remainder

Answer 1

make eq by taking the dividend and remainder as follows:

x=5z+3

y=5p+4

so to get x+y we add these two equations

so get

x+y=5z+3+5p+4

x+y=5z+5p+7

here 5+2 is 7

so we can write 7 as 5+2

x+y=5z+5p+5+2

x+y=5(z+p+1)+2

assume m=z+p+1

so x+y=5m+2

we get when x+y is divided by 5 we get remainder 2