Step-by-step explanation:
566 - 11 = 555
555 / 15 = 37.
The number is 37.
Answer:
[tex]\boxed{\pink{\sf \leadsto The \ required \ number \ is \ 37 . }}[/tex]
Step-by-step 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 ,
[tex]\boxed{\red{\bf Dividend = Quotient\times Divisor + Remainder }}[/tex]
Here , 566 will be Dividend , 11 is remainder and 15 quotient . x will be the Divisor .
[tex]\implies Dividend = Quotient\times Divisor + Remainder \\\\\implies 566 = 15 \times x + 11 \\\\\implies 566 = 15x + 11 \\\\\implies 15x = 566 - 11 \\\\\implies 15x = 555 \\\\\implies x =\dfrac{555}{15}\\\\\underline{\boxed{\orange{ \tt \implies x = 37}}}[/tex]
