Question

6. On dividing 59761 by a certain number, the quotient is 189 and the remainder is 37. Find
the divisor.




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Answer 1

$\huge\sf\pink{Answer}$

☞ Divisor = 316

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$\huge\sf\blue{Given}$

✭ We are dividing 59761 by a number

✭ The Quotient is 189

✭ Remainder is 37

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$\huge\sf\gray{To \:Find}$

◈ The Divisor?

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$\huge\sf\purple{Steps}$

Let the number by which it is divided as x

Here we shall use the Euclid's Division Algorithm, that is

$\underline{\boxed{\sf Dividend = Divisor (Q)+Remainder}}$

So here,

✦ Dividend = The Number which will be divided by another number = 59761

✦ Divisor = The Number to be divided = x

✦ Remainder = 37

✦ Quotient = 189

Substituting the given values,

➳ $\sf 59761 = x(189)+37$

➳ $\sf 59761 = 189x+37$

➳ $\sf 59761-37 = 189x$

➳ $\sf 59724 = 189x$

➳ $\sf \dfrac{59724}{189} = x$

➳ $\sf\orange{x = 316}$

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