For any integers a and 3, there exists unique integers q and r such that a=3q+r. Find the possible values of r.
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Hey friend!!
Let a be the any positive integer
and a is divisible by b.
By Euclid's division lemma
a=bq+r , 0≤r<b.
It is given that
→a=3q+r
Hence, b=3.
In Euclid's division lemma
0≤r<b
Therefore, possible values of r=0,1,2.
Hope it's helpful for you:(☺☺☺✌✌✌.
Let a be the any positive integer
and a is divisible by b.
By Euclid's division lemma
a=bq+r , 0≤r<b.
It is given that
→a=3q+r
Hence, b=3.
In Euclid's division lemma
0≤r<b
Therefore, possible values of r=0,1,2.
Hope it's helpful for you:(☺☺☺✌✌✌.
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