Question

if x:y=2:5 find (2x-3y):(5x-3y)

Answer 1

Answer:

11/5

Step-by-step explanation:

DESI METHOD :-

= x : y = 2 : 5

= (2x - 3y) : (5x - 3y)

= (2x - 3y) / (5x - 3y)

= [(2x - 3y)/y] / [(5x - 3y/y]

= (2x/y - 3) / (5x/y - 3)

Now Putting Value of x : y

= (2*2/5 - 3) / (5*2/5 - 3)

= (4/5 - 3) / (10/5 - 3)

= [(4 - 15)/5] / [2 - 3]

= (-11/5) / (-1)

= 11/5

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Answer 2

SOLUTION

GIVEN

x : y = 2 : 5

TO DETERMINE

$\displaystyle \sf{(2x - 3y) : (5x - 3y) }$

EVALUATION

Here it is given that

x : y = 2 : 5

Let x = 2k and y = 5k

So we have

$\displaystyle \sf{(2x - 3y) : (5x - 3y) }$

$\displaystyle \sf{ = \frac{(2x - 3y)}{ (5x - 3y) }}$

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

$\displaystyle \sf{ = \frac{4k - 15k}{ 10k - 15k }}$

$\displaystyle \sf{ = \frac{- 11k}{ - 5k }}$

$\displaystyle \sf{ = \frac{11}{5}}$

$\displaystyle \sf{ = 11 : 5}$

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