​If x : y = 2 : 3, then (4x + 3y) : (2x + 5y) = ?​

Correct option is B

Given:

x : y = 2 : 3 

(4x+3y) : (2x+5y) = ?

Solution:

We can assume that x = 2k and y = 3k, where k is a constant.

Now substitute x =2k and y = 3k into the expression (4x+3y) : (2x+5y)

​$$\frac{4x+3y}{2x+5y} = \frac{4(2k)+3(3k)}{2(2k)+5(3k)}$$ 

​$$\frac{8k+9k}{4k+15k} = \frac{17k}{19k}$$  

​$$\frac{4x+3y}{2x+5y} = \frac{17}{19}$$ 

Thus the ratio of $$(4x+3y):(2x+5y)\ \text{is} \ 17:19.$$​​

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