Question

On dividing a number by 8, the quotient is 11 and remainder is 6.Find the number​

Answer 1

The number 94 produces a Quotient of 11 and a Remainder of 6 on division by 8.

Division Parameters :

• The number or value that is divided is called the "Dividend"
• The number or value by which the dividend is divided is called the "Divisor"
• The result in the whole number obtained by dividing the Dividednd by the Divisor is called the Quotient
• In case, the Dividend is not an exact multiple of the Divisor, the value left is called the Remainder.
• The relation between them are :

       Dividend = ( Divisor * Quotient ) + Remainder

The values given are :

• Divisor = 8
• Quotient = 11
• Remainder = 6
• Thus, applying the formula to find the Dividend number :

                Dividend = ( Divisor * Quotient ) + Remainder

                                = ( 8 * 11 ) + 6

                                = 88 + 6

                                = 94

Hence, the required number is 94.

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Answer 2

Answer:

$\:\boxed{\bf \: Required\:number\:is\:94 \: }$

Step-by-step explanation:

Given that, on dividing a number by 8, the quotient is 11 and remainder is 6.

Let assume that the required number be x.

So,

When x is divided by 8, the quotient is 11 and remainder is 6

So, we have

$\sf \: Dividend = x$

$\sf \: Divisor = 8$

$\sf \: Quotient = 11$

$\sf \: Remainder = 6$

We know, By Division algorithm,

$\sf \: Dividend = Divisor \times Quotient + Remainder$

On substituting the values, we get

$\sf \: x = 8 \times 11 + 6$

$\sf \: x = 88 + 6$

$\implies\sf \: x = 94$

Hence,

$\implies\sf \:\boxed{\bf \: Required\:number\:is\:94 \: }$

$\rule{190pt}{2pt}$

Additional Information

$\begin{gathered}\: \: \: \: \: \: \begin{gathered}\begin{gathered} \footnotesize{\boxed{ \begin{array}{cc} \small\underline{\frak{\pmb{{More \: identities}}}} \\ \\ \bigstar \: \bf{ {(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2} }\:\\ \\ \bigstar \: \bf{ {(x - y)}^{2} = {x}^{2} - 2xy + {y}^{2} }\:\\ \\ \bigstar \: \bf{ {x}^{2} - {y}^{2} = (x + y)(x - y)}\:\\ \\ \bigstar \: \bf{ {(x + y)}^{2} - {(x - y)}^{2} = 4xy}\:\\ \\ \bigstar \: \bf{ {(x + y)}^{2} + {(x - y)}^{2} = 2( {x}^{2} + {y}^{2})}\:\\ \\ \bigstar \: \bf{ {(x + y)}^{3} = {x}^{3} + {y}^{3} + 3xy(x + y)}\:\\ \\ \bigstar \: \bf{ {(x - y)}^{3} = {x}^{3} - {y}^{3} - 3xy(x - y) }\:\\ \\ \bigstar \: \bf{ {x}^{3} + {y}^{3} = (x + y)( {x}^{2} - xy + {y}^{2} )}\: \end{array} }}\end{gathered}\end{gathered}\end{gathered}$