Question

If xy =3:2 find (2x+3y): (3x+5y)

Answer 1

SOLUTION

GIVEN

x : y = 3 : 2

TO DETERMINE

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

EVALUATION

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

Let x = 3k and y = 2k

Now (2x+3y) : (3x+5y)

$\displaystyle \sf{ = \frac{2x + 3y}{3x + 5y} }$

$\displaystyle \sf{ = \frac{(2 \times 3k) + (3 \times 2k)}{(3 \times 3k) + (5 \times 2k)} }$

$\displaystyle \sf{ = \frac{6k + 6k}{9 k + 10k} }$

$\displaystyle \sf{ = \frac{12k}{ 19k} }$

$\displaystyle \sf{ = \frac{12}{ 19} }$

$\displaystyle \sf{ = 12 : 19}$

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Answer 2

Step-by-step explanation:

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