Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number is:

2 Answers on this Question

1. Answer is 24.

   Let the ratio number be x then the first number is 3x and other 5x. if 9 is subtracted new ratio is:
   (3x-9)/(15x-9) = 9/17 . Solve for x. x comes as 3 hence number is 24.

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2. The first number is 36

   Step-by-step explanation:
   let their common factor be ‘x’

   hence,

   the ratio be 3x/5x

   hence, by condition;

   (3x-9)/(5x-9)=9/17 ch upu

   9(5x-9)=17(3x-9)

   45x-81=51x-153

   153-81=51x-45x

   72=6x

   x=72/6

   x=12

   the first number is 3x=3×12=36

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