Question

in a sum,the divisor is 173,the quoteint is 2544 and the. remainder is 60 .what is dividend

Answer 1

Concept:

Divisor - A number that totally or partially divides another integer is referred to as a divisor.

Dividend - The number that needs to be split or dispersed into a predetermined number of equal pieces in a division problem is known as the dividend.

Quotient - When we divide a number, the result we ultimately get is the quotient.

Remainder - The value remaining after division is known as the Remainder. After division, we are left with a value if a number (dividend) cannot be divided entirely by another number (divisor). The remaining is the name for this amount.

Given:

Divisor = 173

Quotient = 2544

Remainder = 60

Find:

We have to find the dividend.

Solution:

As we know that,

Dividend = (Divisor × Quotient) + Remainder

So, Dividend = (173 x 2544) + 60

Dividend = 440112 + 60

Dividend = 440172.

Hence, the dividend is 440172.

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Answer 2

Concept

Euclidean division lemma (the lemma is similar to a theorem) states that given two positive integers "a" and "b", there exist unique integers "q" and "r" such that is: a = bq+ r, where 0 ≤ r < b.

where "a" is dividend , "b" is divisor , "q" is quotient and" r" is remainder

Given

We have been given that divisor is 173,  quotient is 2544 and the remainder is 60 .

Find

We are asked to determine the dividend.

Solution

By using Division lemma which is given by

$Dividend =Divisor \times Quotient+Remainder$    ...(1)

Putting  Divisor $=173$ , Quotient $=2544$ , Remainder = 60 in equation (1) , we get

$Dividend=173\times2544+60\\Dividend=440112+60\\Dividend=440172$

Therefore , the dividend is 440172 .

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