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Two numbers are in the ratio 7:5. If 2 is subtracted from each of them, the ratio becomes 3:2. Find the numbers.

Sagot :

devishri1977

Answer:

Step-by-step explanation:

Ratio = 7 : 5

Numbers are 7x , 5x

[tex]\dfrac{7x-2}{5x-2}=\dfrac{3}{2}\\\\\\[/tex]

Cross multiply,

2*(7x - 2) = 3*(5x -2)

2*7x - 2*2 = 3*5x - 3*2

14x - 4       = 15x - 6    

14x - 4 + 6 = 15x   {Add 6 to both sides}

14x  + 2      = 15x

            2    = 15x - 14x       {Subtract '4x' from both sides}

   x = 2

7x = 7*2 = 14

5x = 5*2 = 10

Numbers are 14 , 10  

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