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Class A has students twice that of class B. After adding 20 students to class A and 30 students to class B, the total number of students in both th e classes is 140. What is the number of students in class A in the beginning?

  • a)
    30

  • b)
    60

  • c)
    80

  • d)
    140

Correct answer is option 'B'. Can you explain this answer?
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Let's solve the problem step by step:

Given information:
- Let the number of students in class B be x.
- Number of students in class A = 2x (twice that of class B)
- After adding 20 students to class A and 30 students to class B, the total number of students in both classes is 140.

Equation 1:
- Total number of students in class A after adding 20 students = 2x + 20

Equation 2:
- Total number of students in class B after adding 30 students = x + 30

Equation 3:
- Total number of students in both classes after adding students = 140
- (2x + 20) + (x + 30) = 140
- 3x + 50 = 140
- 3x = 90
- x = 30

Calculating the number of students in class A:
- Number of students in class A = 2x
- Number of students in class A = 2 * 30
- Number of students in class A = 60

Therefore, the number of students in class A in the beginning was 60. Hence, option B is the correct answer.
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Class A has students twice that of class B. After adding 20 students to class A and 30 students to class B, the total number of students in both th e classes is 140. What is the number of students in class A in the beginning?a)30b)60c)80d)140Correct answer is option 'B'. Can you explain this answer?
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