Question

if x+y:x-y=5.2,y:x??????????????​

Answer 1

Answer:

$\frac{x + y}{x - y} = \frac{5}{2} \\ \\ \\ \frac{x + y + x - y}{x + y - x + y} = \frac{5 + 2}{5 - 2} \\ \\ \\ \frac{2x}{2y} = \frac{7}{3} \\ \\ \\ \frac{x}{y} = \frac{7}{3}$

x : y = 7 : 3

Answer 2

Required Answer:-

Given:

• (x + y)(x - y) = 5 : 2

To Find:

• y : x

Solution:

We have,

$\rm \implies \dfrac{x + y}{x - y} = \dfrac{5}{2}$

Applying componendo and dividendo formula, we get,

$\rm \implies \dfrac{x + y + x - y}{x + y - x + y} = \dfrac{5 + 2}{5 - 2}$

$\rm \implies \dfrac{2x}{2y} = \dfrac{7}{3}$

$\rm \implies \dfrac{x}{y} = \dfrac{7}{3}$

$\rm \implies \dfrac{y}{x} = \dfrac{3}{7}$

★ Therefore the ratio of y to x is 3 : 7.

Answer:

• y : x = 3 : 7

Formula Used:

• $\rm \dfrac{a}{b} = \dfrac{c}{d} \implies \dfrac{a + b}{a - b} = \dfrac{c + d}{c - d}$