SSC (Marathi Semi-English) 10thMaharashtra State Board
Share

# The divisor and quotient of the number 6123 are same and the remainder is half the divisor. Find the divisor - SSC (Marathi Semi-English) 10th - Algebra

#### Question

The divisor and quotient of the number 6123 are same and the remainder is half the divisor. Find the divisor.

#### Solution

Dividend = 6123
Now, divisor and quotient are same
Let divisor = quotient = d

Now, remainder = 1/2xxx=x/2

Since dividend = divisor * quotient + remainder, we have

6123= d^2+d/2

∴12246= 2d2+d

∴2d2+d-12246 = 0

Comparing with ax2+bx+c, we get

a= 2, b= 1, c=-12246

therefore d=(-b+-sqrt(b^2-4ac))/(2a)

=(-1+-sqrt(1^2-4(2)(-12246)))/4

=(-1+-sqrt97969)/4

=(-1+-313)/4

∴d=(-1+313)/4 or d=(-1-313)/4

∴d= 78 or d= -78.5

Ignoring the negative value, the divisor is 78.

Is there an error in this question or solution?

#### APPEARS IN

Solution The divisor and quotient of the number 6123 are same and the remainder is half the divisor. Find the divisor Concept: Quadratic Equations Examples and Solutions.
S