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

Last updated date: 20th Mar 2023

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Answer

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**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.

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