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There are certain number of it balls twin balls and blue balls in a bag one of the ball in the back one by three and two by seven a blue the number of green ball in the bag is 8 less than twice the number of blue ball find the number of green ball in the back?
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There are certain number of it balls twin balls and blue balls in a ba...
Understanding the Problem
To find the number of green balls in the bag, we need to analyze the information given in the problem statement. We have three types of balls: green, twin, and blue.
Relationship Between Balls
- The ratio of the balls is given as one-third and two-sevenths for green and blue respectively.
- The number of green balls is stated to be 8 less than twice the number of blue balls.
Setting Up Variables
- Let the number of blue balls be denoted as B.
- The number of green balls will then be represented as 2B - 8.
Using Ratios
- From the problem, we can assume:
- Green balls = (1/3) * Total balls
- Blue balls = (2/7) * Total balls
Assuming the total number of balls is T, we have:
- Green balls = T/3
- Blue balls = 2T/7
Equating the Number of Green Balls
Since we have two expressions for the number of green balls, we can equate them:
- T/3 = 2B - 8
Finding Total Balls
To solve for T, we replace B with T/7 (from the blue ball ratio):
- T/3 = 2(T/7) - 8
Now, solve for T:
1. Multiply through by 21 (LCM of 3 and 7) to eliminate the fractions.
2. Simplify to find the value of T.
3. Substitute back to find B and then calculate green balls.
Final Calculation
After solving, you will find the number of green balls using the equation:
- Green balls = 2B - 8
This systematic approach leads you to the desired number of green balls in the bag.
To find the number of green balls in the bag, we need to analyze the information given in the problem statement. We have three types of balls: green, twin, and blue.
Relationship Between Balls
- The ratio of the balls is given as one-third and two-sevenths for green and blue respectively.
- The number of green balls is stated to be 8 less than twice the number of blue balls.
Setting Up Variables
- Let the number of blue balls be denoted as B.
- The number of green balls will then be represented as 2B - 8.
Using Ratios
- From the problem, we can assume:
- Green balls = (1/3) * Total balls
- Blue balls = (2/7) * Total balls
Assuming the total number of balls is T, we have:
- Green balls = T/3
- Blue balls = 2T/7
Equating the Number of Green Balls
Since we have two expressions for the number of green balls, we can equate them:
- T/3 = 2B - 8
Finding Total Balls
To solve for T, we replace B with T/7 (from the blue ball ratio):
- T/3 = 2(T/7) - 8
Now, solve for T:
1. Multiply through by 21 (LCM of 3 and 7) to eliminate the fractions.
2. Simplify to find the value of T.
3. Substitute back to find B and then calculate green balls.
Final Calculation
After solving, you will find the number of green balls using the equation:
- Green balls = 2B - 8
This systematic approach leads you to the desired number of green balls in the bag.
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There are certain number of it balls twin balls and blue balls in a bag one of the ball in the back one by three and two by seven a blue the number of green ball in the bag is 8 less than twice the number of blue ball find the number of green ball in the back?
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There are certain number of it balls twin balls and blue balls in a bag one of the ball in the back one by three and two by seven a blue the number of green ball in the bag is 8 less than twice the number of blue ball find the number of green ball in the back? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about There are certain number of it balls twin balls and blue balls in a bag one of the ball in the back one by three and two by seven a blue the number of green ball in the bag is 8 less than twice the number of blue ball find the number of green ball in the back? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are certain number of it balls twin balls and blue balls in a bag one of the ball in the back one by three and two by seven a blue the number of green ball in the bag is 8 less than twice the number of blue ball find the number of green ball in the back?.
There are certain number of it balls twin balls and blue balls in a bag one of the ball in the back one by three and two by seven a blue the number of green ball in the bag is 8 less than twice the number of blue ball find the number of green ball in the back? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about There are certain number of it balls twin balls and blue balls in a bag one of the ball in the back one by three and two by seven a blue the number of green ball in the bag is 8 less than twice the number of blue ball find the number of green ball in the back? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are certain number of it balls twin balls and blue balls in a bag one of the ball in the back one by three and two by seven a blue the number of green ball in the bag is 8 less than twice the number of blue ball find the number of green ball in the back?.
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