Question

Find q and r satisfying a=bq+r,where a=13 and b=3.

Answer 1

Answer:

A = BQ + R

==> DIVIDEND IS 13 AND DIVISIOR = 3

S0, DIVIDE 13/3 ITS LEAVE REMAINDER 1 AND QUOTIENT = 4

SO, 13 = 3(4) + 1

==> 13 = 13

SO, Q = 4 , R=1

Answer 2

Answer:

Hence, The required value of q = 4 and r = 1

Step-by-step explanation:

The value of q and r can be found by using the Euclid division algorithm which is given by the formula :

a = bq + r

Now, a = 13 and b = 3

⇒ 13 = 3q + r

We need to find the maximum value of q such that 3q ≤ 13

⇒ Maximum value of q will be 4

⇒ 3 × 4 = 12 < 13

and r = a - bq

⇒ r = 1

⇒ 13 = 3 × 4 + 1

Hence, The required value of q = 4 and r = 1