Question

A number when divided by 53, gives 33 as quotient and 19 as remainder. Find the number.

Answer 1

Hint: Use the basic law of division, i.e. D = (d × q) + R, where D is the Dividend, d is the divisor, q is the quotient and R is the remainder.

Complete step-by-step answer:
Given Data,
Divisor d = 53
Quotient q = 33
Remainder R = 19
Hence, Dividend
D = (53 × 33) + 19
$\Rightarrow$ D = 1749 + 19= 1768
Hence the number is 1768.

Note: This division rule applies for all whole numbers. It is also applicable for fractions, decimals and Integers.