Question

which number should be divided by 6831 to give a quotient of 21 and a remainder of 6. plz explain step by step.

Answer 1

Answer:

325 is the number which is divided by 6831 to give a quotient of 21 and a remainder of 6 .

Step-by-step explanation:

Explanation:

Let  divisor be x .

Than according to the formula,

Dividend = Divisor × Quotient + Remainder.

Step 1:

Given in the question that, quotient = 21 ,

remainder = 6 and   dividend = 6831 .

Therefore, from the formula,

Dividend = Divisor × Quotient + Remainder.

⇒ 6831 =  x × 21 + 6

⇒ 6831 = x × 21 + 6

⇒ x = $\frac{6831- 6}{21}$ = 325

Final answer:

Hence, 325 is the number which is divided by 6831 to give a quotient of 21 and a remainder of 6 .

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Answer 2

Answer:

The number divided by 6831 = 325

Step-by-step explanation:

Given,

The quotient  and remainder received when 6831 is divided by a number  = 21 and 6 respectively

To find,

the divisor

Solution:

Recall the concept

By division algorithm we have

Dividend = divisor × Quotient + Remainder

Here,

Dividend = 6831

quotient = 21

remainder  = 6

Let the divisor be 'x'

Substituting in division algorithm we get

6831 = 21x + 6

21x = 6831 -6

= 6825

x = $\frac{6825}{21}$ = 325

Divisor  =  325

∴ The number divided by 6831 = 325

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