Question

if x:y = 3:4 , find (3x + 4y) :( 5x + 6y )​

Answer 1

Answer:

25:39 is the answer

Step-by-step explanation:

$\frac{x}{y} =\frac{3}{4} \\\\ let \ x = 3a,y=4a \\\\ => \frac{(3x+4y)}{(5x+6y)} \\\\=> \frac{[3(3a)+4(4a)]}{[5(3a)+6(4a)]} \\\\=> \frac{9a+16a}{15a+24a} \\\\=> \frac{25a}{39a} \\\\=> \frac{25}{39} \\\\this \ is \ one \ method,\\you \ can \ also \ do \ it \ in \ other \ way \ by \ substituting \ the \ value \ of \ x \ as;\\ x = (\frac{3}{4}) y$