Question

Q.1 If (4x-3y) : (2x+5y) = 12 : 19 then x : y is…​

Answer 1

Step-by-step explanation:

(4x-3y)/(2x+5y)=12/19

cross multiply

19(4x-3y)=12(2x+5y)

76x-57y=24x+60y

76x-24x=60y+57y

52x=117y

therefore X : y = 52 : 117

Answer 2

Given :

• (4x -3y) : (2x + 5y) = 12 :19

To find :

• x : y

Solution :

$\tt \dfrac{4 x -3y}{2x + 5y} = \dfrac{12}{19}$

→ 19 ( 4x -3y ) = 12 ( 2x + 5y)

→ 76x - 57y = 24 x + 60y

→ 76 x -24 x = 60 y + 57 y

→ 52 x = 117 y

$\tt \dfrac{x}{y} = \dfrac{117}{52}$

Therefore,

X: y = 117: 52

For example :

If y = 1

52 x = 117

x = 117 /52

This means that x is 117/52 times y .