MathematicsWhat must be added to each term of the ratio 9: 16 to make the ratio 2: 3?

What must be added to each term of the ratio 9: 16 to make the ratio 2: 3?


  1. A
    5
  2. B
    3
  3. C
    4
  4. D
    6 

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    Solution:

    It is required to find the number that must be added to each term of the ratio 9: 16 to make the ratio 2: 3.
    Let the added number be x.
    Then, 9+x:16+x=2:3  .
    Simplify and solve the above expression.
    9+x 16+x = 2 3   3(9+x)=2(16+x)   27+3x=32+2x  
    3x2x=3227   x=5  
    The number added to each term of the ratio 9:16   to make the ratio 2: 3 will be 5  .
    Hence option 1 is the answer.
     
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