Question

If a and b are two given positive integers, then there exist unique integer q and r satisfying the relation (a=bq+r,0<r<b) Find integers q and r for the following pairs of positive integers a and b. (i) 19, 4, (ii)81,3​

Answer 1

Step-by-step explanation:

Given that:-

1)Given integers are 19,4

By Euclid Division Lemma

a=bq+r ,0≤r<b

Consider a=19 and b=4 then

19=4×4+3

Here

q=4 and r =3

2)Given integers are 81,3

Consider a=81 and b=3

then by Euclid's division lemma

81=3×27+0

Here

q=27 and r=0