Answer :
12401 = 76 * N + 13
N = (12 401 - 13) / 76 = 12 388/76 = 3 097/19 = 163
N = (12 401 - 13) / 76 = 12 388/76 = 3 097/19 = 163
163 is the divisor when 12401 is the dividend , 76 is the quotient and 13 is the remainder.
Given:
Dividend = 12401
Quotient = 76
Remainder = 13
To find:
Divisor = ?
Solution:
Given that , Dividend = 12401, Quotient = 76, Remainder = 13.
To find the divisor there is a formula which is related to the given data
Dividend = Divisor × Quotient + Remainder.
Substituting the values in the above formula
[tex]\begin{array}{l}{12401=\text {Divisor} \times 76+13} \\ {12401-13=\text {Divisor} \times 76} \\ {12388=\text {Divisor} \times 76} \\ {\text {Divisor}=\frac{12401}{76}=163}\end{array}[/tex]
If 12401 is the dividend and 76 is the quotient and 13 is the remainder then the divisor is 163.