Question

On dividing 12401 by a certain number, we get 76 as quotient and 13 as remainder what the divisor is?

Answer 1

Answer:

The divisor is 163

Step-by-step explanation:

a = bq + r

where a = dividend

b = divisor

q = quotient

r = remainder

12401 = b(76) + 13

12388 = b(76)

12388/76 = b

b = 163

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Answer 2

Q) On dividing 12401 by a certain number, we get 76 as quotient and 13 as remainder what the divisor is?

The solution to this question is REAMINDER RULE.

It is :-

Dividend = Divisor*Quotient + Remainder

Hence,

According to question we have :-

Dividend = 12401

Quotient = 76

Remainder = 13

Putting down the values and obtaining divisor.

Let the divisor be x

So,

We have :-

$12401 = x \times 76 + 13 \\ \\ \\76x = 12401 - 13 \\ \\ \\76x = 12388 \\ \\ \\x = \frac{12385}{76} \\ \\ \\x = 163$

Hence, the divisor is 163

Answer!