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Lena [83]
3 years ago
10

Find q, r in \mathbb{Z} so that 105 = 11q + r

Mathematics
1 answer:
masha68 [24]3 years ago
8 0

Answer:

q=9\,,\,r=6

Step-by-step explanation:

Division Algorithm :

As per division algorithm , for numbers a and b , there exist numbers q and r such that a=bq+r\,\,,0\leq r< b

Here ,

a = Dividend

b = Divisor

q = quotient

r = remainder

Given : 105 = 11q + r such that 0 \leq r < 11

Here, clearly a = 105 , b = 11

To find : q and r

Solution : On dividing 105 by 11 , we get 105=11\times 9+6

On comparing 105=11\times 9+6 with a=bq+r\,\,,0\leq r< b , we get q=9\,,\,r=6

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