Question

If x/y=4/5 then find the value of the ratio 4x-y/4x+y​

Answer 1

Answer:

x/y=4/5

so x=4 or y=5

4*4-5/4*4+5=11/21

Answer 2

FINAL ANSWER:-

$11:21$

GIVEN:-

$x:y=4:5$

or

$\frac{x}{y} =\frac{4}{5}$

TO FIND:-

the value of ratio of $\frac{4x-y}{4x+y}$

SOLUTION:-

here $\frac{x}{y} =\frac{4}{5}$ can b written as $x=\frac{4y}{5}$

as we got the value of x so , let's put it in equation

we get,

$=\frac{4(\frac{4y}{5})-y}{4(\frac{4y}{5})+y}$ ⇒ $\frac{\frac{16y}{5}-y }{\frac{16y}{5}+y}$

$=\frac{\frac{16y-5y}{5} }{\frac{16y+5y}5}$ ⇒$\frac{\frac{11y}{5} }{\frac{21y}5}$

$=\frac{5(11y)}{5(21y)}$ ⇒ $\frac{55y}{105y}$

$=\frac{11}{21}$

or

$11:21$

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