Question

A boy divided a certain number by 75 instead of 72 and got both quotient and remainder are to de 72 .What should be the quotient when the number is divided by 72?​

Answer 1

Answer:

we know that the division algorithm

Dividend=Divisor×Quotient+Remainder

Here Divisor=75

Quotient=72

Remainder=72

The number will be

=75×72+72

=5400+72

=5472

so number is 5472

this 5472 is divided by 72

then we will get 0 reminder

Answer 2

Answer:

The quotient obtained when number is divided by 72 is 76

Step-by-step explanation:

Given that,

A boy divided a certain number by 75 instead of 72 and got both quotient and remainder are to be 72.We are required to find the quotient when the number is divided by number 72.For that,we first find the number using a relation as shown below.

$\\ Number=Divisor \times quotient+Remainder$

For our given question,

The divisor=75

Quotient=72 and Remainder=72.

Therefore,the number is

$= 75 \times 72 + 72 = 5472$

Therefore the unknown number is 5472.

Now we are supposed to find the quotient when the number is divided by 72.It is found as follows

$\frac{5472}{72} = \frac{75 \times 72 + 72}{72} = \frac{76 \times 72}{72} = 76$

Therefore,the quotient of the number when divided by 72 is obtained as 76

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