Question

Rupees 6400 divided equally among among X persons had this money been divided equally among X + 14 persons each would have got rupees 28 less find the value of x

Answer 1

Answer:

x=50

Step-by-step explanation:

Check in the photo clicked

Answer 2

The value of X is 50.

Step-by-step explanation:

Since we have given that

Rs. 6400 divided equally among X persons.

Amount each person is given by

$\dfrac{6400}{X}$

Rs. 6400 divided among X+14 persons, each would have got rupees 28 less.

So, Amount each person is given by

$\dfrac{6400}{X+14}-28$

According to question, we get that

$\dfrac{6400}{X}=\dfrac{6400}{X+14}-28\\\\28=\dfrac{6400}{X+14}-\dfrac{6400}{X}\\\\28=6400(\dfrac{X-(X+14)}{X(X+14)})\\\\\dfrac{28}{6400}=\dfrac{-14}{X^2+14X}\\\\\dfrac{-2}{6400}=\dfrac{1}{X^2+14X}\\\\\dfrac{-1}{3200}=\dfrac{1}{X^2+14X}\\\\-(X^2+14X)=3200\\\\-X^2-14X=3200\\\\X^2+14X-3200=0\\\\X=50,-64$

Hence, the value of X is 50.

# learn more:

2x^2 = 6400 - x^2

find the value of x.​

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