Question

If (3x+2y) : (3x+4y)= 3:5, find x:y​

Answer 1

x : y = 1 : 3

Explanation:

Express the equivalent ratios in fractional form , that is

`(3x+2y)/(3x +4y)` =
`(3)/(5)` ← cross- multiply

5(3x + 2y) = 3(3x + 4y) ← distribute parenthesis on both sides

15x + 10y = 9x + 12y ( subtract 9x from both sides )

6x + 10y = 12y ( subtract 10y from both sides )

6x = 2y ( divide both sides by y )

6
`(x)/(y)` = 2 ( divide both sides by 6 )

`(x)/(y)` =
`(2)/(6)` =
`(1)/(3)`

then x : y = 1 : 3