Question

If 2 is adding to each of the two given numbers, then their ratios become 1 : 2. However, if 4 is subtracted from each of the given numbers,the ratios become 5 : 11. Find the number.
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Answer 1

Answer:

Step-by-step explanation:

Let one number be x and other number be y

So,

     (x +  2)/(y + 2) = 1/2

      2x + 4 = y + 2

      y = 2x + 2   - (i)

And,

      (x - 4)/(y) = 5/11

       11x -44 = 5y

       11x -44 = 10x + 10  (y = 2x + 2)

x = 54

y = 110

   

       

 

Answer 2

Answer:

let first number be x and another be y..

ATQ

$\frac{x + 2}{y + 2} = \frac{1}{2} \\ 2x + 4 = y + 2 \\ 2x - y = - 2......(i)$

and

$\frac{x - 4}{y - 4} = \frac{5}{11} \\ 11x - 44 = 5y - 20 \\ 11x - 5y = 24.........(ii)$

multiply 5 in eqn (i).....

and subtract it from (ii) eqn..

11x-5y=24

10x-5y=-10

- + +

x = 34 y = 70

hope this will help you..

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