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

Sagot :

ChoiSungHyunidn

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]

Hence the required number is 37 .

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