The remainder when m + n is divided by 12 is 8, and the remainder when m – n is divided by 12 is 6. if m > n, then what is the remainder when mn divided by 6?
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solution
first we solve
m+n=8
m-n=6
simultaneously
m=7 and n=1
because
by letting m be the subject from eqn 2
⇒ m=6+n
then we put into m+n=8
⇒ 6+n+n=8
2n=8-6
2n=2
⇒ n=1
m=6+n
⇒ m=7
⇒ m=7 , n=1
t
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