Math, asked by bhabyasingh1735, 16 days ago

In a certain sum the dividend is 37693, the quotient is 52and the remainder is greater than 52 but less than 104.Find the divisor

Answers

Answered by RvChaudharY50
1

Solution :-

given that,

→ Dividend = 37693

and,

→ Quotient = 52

so, in order to find divisor , dividing dividend by Quotient we get ,

→ 37693 ÷ 52 ≈ 724

taking 724 as divisor now,

→ Dividend = 37693

→ Divisor = 724

so,

→ Quotient = 52

→ Remainder = 45

since remainder is less than 52 .

taking 1 less than 724 divisor we get,

→ Dividend = 37693

→ Divisor = 723

so,

→ Quotient = 52

→ Remainder = 97

as we can see that, remainder is greater than 52 but less than 104.

therefore, we can conclude that, the divisor is 723 .

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Answered by amitnrw
1

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

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