Question

Find the number which divided by 65 gives 12 as quotient and 13 as remainder

Answer 1

793 because 65*12+13 gives you 793

Answer 2

The number which when divided by 65 gives 12 as quotient and 13 as remainder is 793.

• In mathematics, the division operation is carried out between 2 numbers which can either be whole numbers or decimals or fractions or a mix of both.
• In this case the numbers are given to be whole numbers. When the division operation is performed between two whole numbers or positive integers the result will also be a positive number that may or may not be a whole number.
• If the 2 numbers are divisible then we obtain a whole number.
• The number that is being divided is called as the dividend and the number that divides the dividend is termed as divisor.
• The result obtained after the division operation is called the quotient.
• The part of the dividend that is left over after division is known as the remainder.
• In the division algorithm, there is a formula that is used to obtain the dividend given the divisor, quotient and the remainder values without actually performing the division.
• This formula is as follows:

$Dividend=Divisor \times quotient+remainder$

It is given that the number that is divided by the number 65 is to be found. So, in this case the dividend is the number to be found.

Given,

Divisor=65

Quotient=12

Remainder=13

Hence by substituting the values in the above formula we get:

$Dividend=65 \times 12+13$

By using the rules of BODMAS we know that in the multiplication operator has more precedence or preference than addition operator and hence we have:

$Dividend=780+13$

$\implies Dividend=793$

Thus this is the required number.

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