Question

on dividing 456789 by a certain number the content is 1952 and a reminder is 21 is left find the number​

Answer 1

$\huge{\underline{\underline{\green{\mathfrak{Answer:}}}}}$

Given

Divident = 456789

Quotient = 1952

remainder = 21

Applying the division rule

$\mathbf {\fbox{Divident = Divisor × Quotient + Remainder}}$

=> Divisor = $\mathbf{\frac{Divident - Remainder}{Quotient}}$

=> Divisor = $\mathbf{\frac{456789 - 21}{1952}}$

=> Divisor = $\mathbf{\frac{456768}{1952}}$

=> Divisor = 234

Hence, the missing number i.e Divisor = 234

Answer 2

Let, the number be x

Given that :

Dividend = 456789,

Divisor = x,

Quotient = 1952

And Remainder = 21

As we know that :

Dividend = Divisor × Quotient + Remainder

According to the question :

$456789 = x \times 1952 + 21 \\ \\ = >1952x = 456789 - 21 \\ \\ = > 1952x = 456768 \\ \\ = > x = \frac{456768}{1952} = 234$

So, the number will be 234 ✔️

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