Question

Ifx:y=2:3, find out the value of
3x+2y/
2x+3y​

Answer 1

Step-by-step explanation:

Hope this will help you!!

Answer 2

$\large\underline{\sf{Solution-}}$

It is given that

$\rm :\longmapsto\:x \: : \: y \: = \: 2 \: : \: 3$

Let x = 2k and y = 3k

Consider,

$\rm :\longmapsto\:\dfrac{3x + 2y}{2x + 3y}$

$\rm \:  =  \:  \: \dfrac{3(2k) + 2(3k)}{2(2k) + 3(3k)}$

$\rm \:  =  \:  \: \dfrac{6k + 6k}{4k + 9k}$

$\rm \:  =  \:  \: \dfrac{12k}{13k}$

$\rm \:  =  \:  \: \dfrac{12}{13}$

Thus,

$\rm :\longmapsto\:\dfrac{3x + 2y}{2x + 3y} = \dfrac{12}{13}$