Mathematics24 is divided into two parts such that 7 times the first part added to 5 times the second part makes 146. Find each part.

24 is divided into two parts such that 7 times the first part added to 5 times the second part makes 146. Find each part.


  1. A
    12,13
  2. B
    11,23
  3. C
    13,11
  4. D
    12,14 

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    Solution:

    Let first part = x
    then second part = 24 – x  (∵ Sum = 24)
    According to the condition,
    7x+5(24−x)=146
    7x+1205x=146
    2x=146120=26
    x = 262 = 13
    ∴ First part = 13 and second part = 24 - 13 = 11
    Hence, Option (3) is the correct answer.
      
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