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Two numbers are in the ratio 5:6 . If 5 is subtracted from each number , the ratio becomes 4:5 . The numbers are : a) 15,20 b)5,10 c) 10,15 d) 25,30?
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Two numbers are in the ratio 5:6 . If 5 is subtracted from each number...
Ratio of two numbers

  • Let the two numbers be 5x and 6x.

  • Therefore, the ratio of two numbers is 5:6.



Subtracting 5 from each number

  • When 5 is subtracted from each number, the new numbers become 5x-5 and 6x-5.

  • The new ratio of two numbers is 4:5.



Equating the ratios

  • Since the ratio of two numbers is given in two different scenarios, we can equate them to find the values of x.

  • Therefore, we get the equation (5x-5)/(6x-5) = 4/5.

  • Solving the equation, we get x=5.



Calculating the numbers

  • Using the value of x, we can calculate the two numbers.

  • The first number is 5x = 25.

  • The second number is 6x = 30.



Therefore, the correct answer is option (d) 25, 30.
Community Answer
Two numbers are in the ratio 5:6 . If 5 is subtracted from each number...
The correct option is d) 25,30

solution:
solving by trial and error method. firstly find the ratio of all the given options. from all the given options only option (d) has the ratio 5:6 so that satisfies the first condition. now if we subtract 5 from both the numbers it becomes 20,25 which is in the ratio 4:5 which satisfies the second condition. hence the final answer is 25,30
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Two numbers are in the ratio 5:6 . If 5 is subtracted from each number , the ratio becomes 4:5 . The numbers are : a) 15,20 b)5,10 c) 10,15 d) 25,30?
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Two numbers are in the ratio 5:6 . If 5 is subtracted from each number , the ratio becomes 4:5 . The numbers are : a) 15,20 b)5,10 c) 10,15 d) 25,30? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Two numbers are in the ratio 5:6 . If 5 is subtracted from each number , the ratio becomes 4:5 . The numbers are : a) 15,20 b)5,10 c) 10,15 d) 25,30? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two numbers are in the ratio 5:6 . If 5 is subtracted from each number , the ratio becomes 4:5 . The numbers are : a) 15,20 b)5,10 c) 10,15 d) 25,30?.
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