Question

quotient and divisor are same of 6123 if remainder is half of divisor . find the divisor​

Answer 1

Answer:

Let the divisor be x.

∴ Quotient be x and remainder be

2

x

.

We know that,

Divisor × Quotient + Remainder = Dividend

i.e. x×x+

2

x

=6123

x

2

+

2

x

=6123

2x

2

+x−12246=0

2x

2

−156x+157x−12246=0

2x(x−78)+157(x−78)=0

(x−78)(2x+157)=0

(x−78)=0

or (2x+157)=0

∴x=78 or x=

2

−157

(∵ divisor can not be negative)

Hence, x=78