Question

In a given fraction,if the numerator is multiplied by 2 and the denominator is reduced by 5we get 6/5.but if the numerator of the given fraction is increased by 8and the deniminator is doubked, we get 2/5.find the fraction

Answer 1

Answer:

(I) no. answer = -7.5

(ii) no. answer=-40

Step-by-step explanation:

(i) no. answer

let the numerator and denominator=x

$\frac{x \times 2}{x - 5} = \frac{6}{5}$

$5(x \times 2) = 6(x - 5)$

$5 \times 2x = 6x - 30$

$10x = 6x - 30$

$10x - 6x = - 30$

$4x = - 30$

$x = \frac{ - 30}{4}$

$x = - 7.5$

(ii) no. answer

let the numerator and denominator=x

$\frac{x + 8}{x + x } = \frac{2}{5}$

$5(x + 8) = 2 x \times 2$

$5x + 40 = 4x$

$5x - 4x = - 40$

$x = - 40$

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