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      Question

      In a college, the ratio of male to female students is

      5:3. If there were 10 additional males and 14 additional females, the ratio would change to 3:2. Find the total number of students in the college.
      A 195 Correct Answer Incorrect Answer
      B 144 Correct Answer Incorrect Answer
      C 176 Correct Answer Incorrect Answer
      D 157 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the number of male and female students be '5n' and '3n' respectively. ATQ; (5n + 10) : (3n + 14) = 3 : 2 Or, 2 ├Ч (5n + 10) = 3 ├Ч (3n + 14) Or, 10n + 20 = 9n + 42 Or, 'n' = 22 Therefore, total number of students = 5n + 3n = 8n = 8 ├Ч 22 = 176

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