Question

when 616 is divided by a certain positive number, which is 66 2/3% of the quotient, it leaves 16 as the remainder.find the divisor

Answer 1

Solution :-

Let the divisor be x

Since, the divisor is 66 2/3 % of the quotient = 2/3rd of the quotient

So, quotient = 3x/2

As we know that  Dividend = (Divisor*Quotient) + Remainder

⇒ 616 = (x*3x/2) + 16

⇒ 616 = 3x²/2 + 16

⇒ 3x²/2 = 616 - 16

⇒ 3x²/2 = 600

⇒ 3x² = 600*2

⇒ 3x² = 1200

⇒ x² = 1200/3

⇒ x² = 400

⇒ x = √400

⇒ x = 20

So, the divisor is 20

Answer.

Answer 2

Answer:

20

Step-by-step explanation: 66 2/3% can be written as 2/3 see the explanation given above.