Question

Given that 3x/8 = 9y/4, Find the ratio of x:y​

Answer 1

Step-by-step explanation:

1. 13x/8= 9y/4
2. 3x×4=12x
3. 9y×8=72y
4. x/y=72/12
5. 1/6

Answer 2

${ \boxed{ \bold{ \huge{ \underline { \red{Solution:-}}}}}}$

${ \bold{ \underline{Given-}}}$

${ \bold{ \implies{ \pink{ \frac{3x}{8} = \frac{9y}{4} }}}}$

${ \bold{ \underline{To \: find-}}}$

▪ x : y ?????

${ \bold{ \implies{ \pink{ \frac{3x}{8} = \frac{9y}{4}}}}}$

▪ cross multiplying the denominator of both the sides.....

${ \bold{ \implies{ \pink{3x \times 4 = 9y \times 8}}}}$

▪ putting the variables on the L.H.S. and other numbers on R.H.S.....

we get,

${ \bold{ \implies{ \pink{ \frac{x}{y} = \frac{9 \times 8}{3 \times 4}}}}}$

${ \bold{ \implies { \pink{ \frac{x}{y} = \frac{6}{1} }}}}$

tHerefore ,

${ \boxed{ \bold{ \red{ \: x \::\: y \: = \: 6 \::\: 1}}}}$