Question

a boy has to divide 7865321 by 254. he copied a figure wrong in the divisior and obtained 33612 quotient with remainder 113 .what mistake did he make

Answer 1

Given: A boy has to divide $7865321$by$254$.

We have to find the mistake did he make.

As we know that Divident=Divisor$\times$Quotient+Remainder

We are solving in the following way:

Divident=Divisor$\times$Quotient+Remainder

Let assume the wrong divisor will be$x$.

$=>7865321=x\times33612+113\\=>7865321-113=x\times33612\\=>7865208=x\times33612\\\\=>\frac{7865208}{33612} =x\\\\=>x=234$

We get$x=234$

Hence, a boy divided$7865321$ by$234$ instead of$254$.

Answer 2

To find : mistake made by boy while dividing numbers .

Given : Division to be performed of $7865321 \div 254$

          quotient = $33612$ and reminder = $113$

Solution :

• Let wrong divisor be $x$.

• We know that , $Divident = Divisor \times Qutotient + Reminder$
• Substituting values we can find the value of wrong divisor.
• $7865321 = x \times 33612 + 113$

         $33612x = 7865208$

                    $x =\frac{7865208}{33612}$

                  $x = 234$

Therefore, instead of dividing number by $254$ boy divided number by $234$. Hence he made mistake in writing divisor.