Question

if m+n gives remainder 8 & m-n gives remainder 6 when divided by 12 what is remainder when mn divided by 6? 1

Answer 1

here,
$\frac{m + n}{12} = 8 \\ \frac{m - n}{12} = 6$
so we can also write it as
m+n=8×12. ....(i)
m-n=6×12. ...(ii)
adding (i) from (ii), we get,

(m+n=96)+(m-n=72 )
2m=168
m=84,
now put the value of m in eq. (i)
84+n=96,
n=96-84
n=12,
therefore m=84 and n=12
here is your answer. : )