Question

By what number must be 566 be divided so as to give a quotient 15 and reminder 11?​

Answer 1

Explanation:

566 - 11 = 555

555 / 15 = 37.

The number is 37.

Answer 2

`\boxed{\pink{\sf \leadsto The \ required \ number \ is \ 37 . }}`

Explanation:

We need to find the number By what number must be 566 be divided so as to give a quotient 15 and reminder 11.

So , let us take the number be x .

Now , we know that ,

`\boxed{\red{\bf Dividend = Quotient* Divisor + Remainder }}`

Here , 566 will be Dividend , 11 is remainder and 15 quotient . x will be the Divisor .

`\implies Dividend = Quotient* Divisor + Remainder \\\\\implies 566 = 15 * x + 11 \\\\\implies 566 = 15x + 11 \\\\\implies 15x = 566 - 11 \\\\\implies 15x = 555 \\\\\implies x =(555)/(15)\\\\\underline{\boxed{\orange{ \tt \implies x = 37}}}`

Hence the required number is 37 .