Question

if x:y=2:3 , find the value of (3x+2y):(9x+5y)

Answer 1

Answer:

4/11

Step-by-step explanation:

x/y=2/3, and so 3x=2y

so (3x+2y) = (4y)

so (9x+5y)= 8y+ 3x+y=11y

so (3x+2y):(9x+5y)= 4/11

Answer 2

If x : y = 2 : 3 value of (3x+2y) : (9x+5y) = 4 : 11

Given : x : y = 2 : 3

To find : The value of (3x+2y) : (9x+5y)

Solution :

Step 1 of 2 :

Write down the given ratio

Here it is given that x : y = 2 : 3

Let x = 2k and y = 3k

Step 2 of 2 :

Find value of (3x+2y) : (9x+5y)

$\sf \: (3x+2y) : (9x+5y)$

$\sf \: = (3 \times 2k+2 \times 3k) : (9 \times 2k+5 \times 3k)$

$\sf \: = (6k+6k) : (18k+15k)$

$\sf \: = 12k: 33k$

$\sf \: = 12: 33$

$\sf \: = 4: 11$

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