Question

if x:y=2:3,find the value of 3x+2y:2x+5y​

Answer 1

Answer:

12:19

Explanation:

x:y=2:3

let,

x=2,y=3

(3x+2y) /(2x+5y) = (3×2+ 2×3)/ (2×2+5×3)

=6+6/4+15

=12/19

=12:19

I hope it is useful for u

Answer 2

$\huge{\boxed{\bold{Question}}}$

if x:y=2:3,find the value of 3x+2y:2x+5y

Solution,

We are given that

$\frac{ \tt \: x}{ \tt \: y}= \frac{ \tt \: 2}{ \tt3} \\ \\ \tt \: so \: \frac{ \tt3x + 2y}{2x + 5y}= \frac{ \frac{3x + 2y}{y} }{ \frac{2x + 5y}{y} } \\ \\ \rm \: dividing \: both \: numerator \: \\ \rm \: and \: denominator \: by \: y \\ \\ </p><p> = \tt \frac{ \tt3 (\frac{x}{y} ) + 2}{2( \frac{x}{y} ) + 5} \: \: \: \: \: \: \rm (given \: x: y = 2 : 3) \\ \\ = \frac{ \tt \: 3 \times \frac{ \tt2}{3} + 2 }{2 \times \frac{2}{3} + 5} = \frac{2 + 2}{ \frac{4}{3} + 5 } = \frac{4}{ \frac{4 + 15}{3} }= \frac{4}{ \frac{19}{3} } = \frac{4 \times 3}{19} = \frac{12}{19} \\ \\ \\ \rm\therefore \: the \: requires \: value \: is \: 12 : 19$