Question

if 30% of (x-y)=18% of (x+y), then the ratio x:y is equal to :​

Answer 1

ANSWER:

Given:

• 30% of (x - y) = 18% of (x + y)

To Find:

• Ratio of x to y (x : y)

Solution:

$\text{We are given that,}\\\\:\implies 30\%\:of\:(x-y)=18\%\:of\:(x+y)\\\\:\implies 30\%\times(x-y)=18\%\times(x+y)\\\\:\implies\dfrac{30}{100\!\!\!\!\!/}\times(x-y)\dfrac{18}{100\!\!\!\!\!/}\times(x+y)\\\\:\implies30\!\!\!\!/^{\:5}\:(x-y)=18\!\!\!\!/^{\:3}\:(x+y)\\\\:\implies5x-5y=3x+3y\\\\\text{Keeping like terms together,}\\\\:\implies5x-3x=3y+5y\\\\:\implies2\!\!\!/\:x=8\!\!\!/^{\:4}\:y\\\\:\implies x=4y\\\\\text{Transposing y to LHS,}\\\\:\implies\dfrac{x}{y}=\dfrac{4}{1}\\\\\bf{:\implies x:y=4:1}$