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In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?
- a)18
- b)36
- c)45
- d)None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In three coloured boxes - Red, Green and Blue, 108 balls are placed. T...
Let R, G and B represent the number of balls in red, green and blue boxes respectively.
Then, .
R + G + B = 108 ...(i),
G + R = 2B ...(ii)
B = 2R ...(iii)
From (ii) and (iii), we have G + R = 2x 2R = 4R or G = 3R.
Putting G = 3R and B = 2R in (i), we get:
R + 3R + 2R = 108 
6R = 108 
R = 18.
6R = 108 R = 18.Therefore Number of balls in green box = G = 3R = (3 x 18) = 54.
Most Upvoted Answer
In three coloured boxes - Red, Green and Blue, 108 balls are placed. T...
Let's solve this problem step by step:
Let's assume the number of balls in the blue box is x.
Given that there are twice as many balls in the blue box as there are in the red box, we can say that the number of balls in the red box is x/2.
It is also given that there are twice as many balls in the green and red boxes combined as there are in the blue box. So, the number of balls in the green and red boxes combined is 2x.
Since we know that the number of balls in the green and red boxes combined is 108, we can write the equation as:
2x + x/2 = 108
To solve this equation, let's get rid of the fraction by multiplying the entire equation by 2:
4x + x = 216
Now, combine like terms:
5x = 216
Divide both sides of the equation by 5:
x = 216/5
x = 43.2
Since we can't have a fraction of a ball, we need to round the value of x to the nearest whole number. Therefore, the number of balls in the blue box is approximately 43.
Now that we know the number of balls in the blue box, we can find the number of balls in the red box:
Number of balls in the red box = x/2 = 43/2 = 21.5
Again, we need to round this value to the nearest whole number, so the number of balls in the red box is approximately 21.
Finally, we can find the number of balls in the green box by subtracting the total number of balls in the blue and red boxes combined from the total number of balls:
Number of balls in the green box = Total number of balls - Total number of balls in the blue and red boxes combined
= 108 - (43 + 21)
= 108 - 64
= 44
Therefore, there are 44 balls in the green box.
Hence, the correct answer is option 'D' (None of these).
Let's assume the number of balls in the blue box is x.
Given that there are twice as many balls in the blue box as there are in the red box, we can say that the number of balls in the red box is x/2.
It is also given that there are twice as many balls in the green and red boxes combined as there are in the blue box. So, the number of balls in the green and red boxes combined is 2x.
Since we know that the number of balls in the green and red boxes combined is 108, we can write the equation as:
2x + x/2 = 108
To solve this equation, let's get rid of the fraction by multiplying the entire equation by 2:
4x + x = 216
Now, combine like terms:
5x = 216
Divide both sides of the equation by 5:
x = 216/5
x = 43.2
Since we can't have a fraction of a ball, we need to round the value of x to the nearest whole number. Therefore, the number of balls in the blue box is approximately 43.
Now that we know the number of balls in the blue box, we can find the number of balls in the red box:
Number of balls in the red box = x/2 = 43/2 = 21.5
Again, we need to round this value to the nearest whole number, so the number of balls in the red box is approximately 21.
Finally, we can find the number of balls in the green box by subtracting the total number of balls in the blue and red boxes combined from the total number of balls:
Number of balls in the green box = Total number of balls - Total number of balls in the blue and red boxes combined
= 108 - (43 + 21)
= 108 - 64
= 44
Therefore, there are 44 balls in the green box.
Hence, the correct answer is option 'D' (None of these).
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In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?a)18b)36c)45d)None of theseCorrect answer is option 'D'. Can you explain this answer? for LR 2025 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?a)18b)36c)45d)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for LR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?a)18b)36c)45d)None of theseCorrect answer is option 'D'. Can you explain this answer?.
In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?a)18b)36c)45d)None of theseCorrect answer is option 'D'. Can you explain this answer? for LR 2025 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?a)18b)36c)45d)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for LR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?a)18b)36c)45d)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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