In a certain sum the dividend is 37693, the quotient 52 and the remainder is greater than 52 but less than 104. Find the divisor.
Answers
Given : dividend is 37693, the quotient is 52and the remainder is greater than 52 but less than 104.
To Find : the divisor
Solution:
a=bq+r
a = dividend = 37693
b = divisor = ?
q = quotient = 52
r = remainder 52 < r < 104
0 ≤ r < b
52 < r < 104
=> 52 <52 +r' < 104
=> 0 < r' < 52
37693 = b(52) + 52 + r'
=> 37693 = (52)(b + 1) + r'
Taking 52 as Divisor , b + 1 will be Quotient as 0 < r' < 52
and b will be our required Divisor for initial condition
724
52 _| 37693 |_
364
_____
129
104
_____
253
208
_____
45
724 = b + 1
=> b = 723
Hence the divisor is 723
Learn More:
If a= bq+r, least value of r is - Brainly.in
brainly.in/question/14679641
17=6×2+5 is compared with Euclid division lemma a=bq+r then ...
brainly.in/question/9899330