Question

A number when divided by 53 gives 34 as quotient and 21 as the remainder. Find the number.

Answer 1

Hint: Recall the definition of the quotient and the remainder. Write the equation relating the dividend to the divisor, the quotient, and the remainder. Then, find the required number.

Complete step-by-step answer:
The four basic arithmetic operations are addition, multiplication, subtraction, and division. The division is a method of distributing a group of things into equal parts.
The division is an inverse operation of multiplication.
The numbers involved in the division operations are given separate names.
The dividend is the number that is being divided in the division process.
The divisor is the number by which the dividend is being divided.
The quotient is the number of times the divisor gives the dividend.
Not all numbers are completely divisible by the divisor, hence, we have the remainder which is the remaining number that can not be further divided into equal parts.
The dividend m, the divisor n, the quotient q, and the remainder r are all related as follows:
\[m = nq + r..........(1)\]
In this problem, the divisor is 53, the quotient is 34 and the remainder is given to be as 21.
Using equation (1), we find the dividend as follows:
\[m = 53 \times 34 + 21\]
The product of 53 and 34 is 1802. Hence, we have:
\[m = 1802 + 21\]
\[m = 1823\]
Hence, the value of the number is 1823.

Note: Do not multiply 53 with the remainder and add to the quotient, the answer will be wrong. Multiply the divisor with quotient and add it to the remainder.