120 kites were divided equally among a certai | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Let the number of children be $x$.Each child receives $\frac{120}{x}$ kites.If there are $4$ children fewer,the number of children is $(x - 4)$.In

Vedclass · Accepted Answer

$24$

Vedclass · Answer

(D) Let the number of children be $x$.Each child receives $\frac{120}{x}$ kites.If there are $4$ children fewer,the number of children is $(x - 4)$.In this case,each child receives $\frac{120}{x - 4}$ kites.According to the problem,$\frac{120}{x - 4} - \frac{120}{x} = 1$.Multiplying by $x(x - 4)$,we get $120x - 120(x - 4) = x(x - 4)$.$120x - 120x + 480 = x^2 - 4x$.$x^2 - 4x - 480 = 0$.Factoring the quadratic equation: $(x - 24)(x + 20) = 0$.Since the number of children cannot be negative,$x = 24$.

$120$ kites were divided equally among a certain number of children in a school. If there were $4$ children fewer,each child would have received $1$ kite more. Find the number of children.

Similar Questions

Find the roots of the quadratic equation by applying the quadratic formula:
$2 x^{2} + x - 4 = 0$

Find the roots of the following quadratic equation by the method of completing the square: $2x^{2} + x + 4 = 0$.

In Hindu civilization,$\ldots \ldots \ldots$ gave the method to solve quadratic equations.

Examine whether the following equation is quadratic or not: $x+\frac{1}{x}=x^{2} (x \neq 0)$

If one of the roots of $x^{2}-2x-c=0$ is $5$,the other root is ...........

Vedclass Test Series

Exam Paper Generator

Online Exam Module