Question

In a division problem, the dividend is 1261, the divisor is half the quotient and the remainder is 11. Find the divisor.

Answer 1

Answer:

Let the quotient be x. Then divisor will be

2

x

.

Remainder =11.

Dividend =1261

Dividend = ( Divisor × Quotient ) + Remainder

⇒ 1261=(

2

x

×x)+11

⇒ 1261=

2

x

2

+11

⇒ 1261=

2

x

2

+22

⇒ 2522=x

2

+22

⇒ x

2

=2500

∴ x=50

⇒ Divisor =

2

x

=

2

50

=25

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Dividend = Divisor × Quotient + Remainder

Let the Quotient be = Q

Then, the Divisor is = Q/2

Remainder = 11

1261 = Q×Q/2 + 11

1250 = Q×Q/2

2500 = Q^2

Q = 50

Divisor = Q/2 = 50 / 2 = 25

Therefore , the Quotient is 50 and the Divisor is 25 .

I hope it helps you. If you have any doubts, then don't hesitate to ask.