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There are three cities: A,B and C. Three friends are discussing the population (in millions) of the three cities. One says A has 9 million people. The second says: B has as many people as A and C combined. The third says: The number of people in A added to half of the number of people in B is the number of people in C. What is the total number of people (in millions) in all three cities combined?  
  • a)
    48
  • b)
    54
  • c)
    63
  • d)
    72
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
There are three cities: A,B and C. Three friends are discussing the po...
Population of A (in millions) = 9
Let the number of people in city B (in millions) be b, while those in city C (in millions) be c.
From the given information,
b=9 + c----(i)
and c=9+b/2
i.e. 2c = 18 + b----(ii)
Solving equations (i) and (ii),
b=36 and c=27
:. The total number of people in cities A, B and C combined = 9+36+27=72 million.
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Most Upvoted Answer
There are three cities: A,B and C. Three friends are discussing the po...
Solution:

Given, the population of city A = 9 million

Let the population of city B and C be x and y million respectively.

According to the second friend's statement, the population of city B is equal to A + C i.e., x = 9 + y

According to the third friend's statement,

A + (1/2)B = C

Substituting the value of B from the second statement, we get:

9 + (1/2)x = y

Solving the above equations, we get:

x = 18 million

y = 27 million

Therefore, the total population of all three cities combined is:

9 + 18 + 27 = 54 million

Therefore, option D is the correct answer.
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There are three cities: A,B and C. Three friends are discussing the population (in millions) of the three cities. One says A has 9 million people. The second says: B has as many people as A and C combined. The third says: The number of people in A added to half of the number of people in B is the number of people in C. What is the total number of people (in millions) in all three cities combined?a)48b)54c)63d)72Correct answer is option 'D'. Can you explain this answer?
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There are three cities: A,B and C. Three friends are discussing the population (in millions) of the three cities. One says A has 9 million people. The second says: B has as many people as A and C combined. The third says: The number of people in A added to half of the number of people in B is the number of people in C. What is the total number of people (in millions) in all three cities combined?a)48b)54c)63d)72Correct answer is option 'D'. Can you explain this answer? 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 There are three cities: A,B and C. Three friends are discussing the population (in millions) of the three cities. One says A has 9 million people. The second says: B has as many people as A and C combined. The third says: The number of people in A added to half of the number of people in B is the number of people in C. What is the total number of people (in millions) in all three cities combined?a)48b)54c)63d)72Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are three cities: A,B and C. Three friends are discussing the population (in millions) of the three cities. One says A has 9 million people. The second says: B has as many people as A and C combined. The third says: The number of people in A added to half of the number of people in B is the number of people in C. What is the total number of people (in millions) in all three cities combined?a)48b)54c)63d)72Correct answer is option 'D'. Can you explain this answer?.
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