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The sum of the three number is 68.If the ratio of the first to second is 3:2 and that of the second to the third is 5:3 , then the second number is
- a)21
- b)22
- c)23
- d)24
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The sum of the three number is 68.If the ratio of the first to second ...
Answer -B) 22 Explanation : A: B = 3:2
B:C = 5 : 3
B:C =(5×[2/5]) : (3×[2/5])= 2: (6/5)
A:B:C = 3:2:(6/5) = 15:10:6
Second number = (10/31)×68 = 21.9 = 22
B:C = 5 : 3
B:C =(5×[2/5]) : (3×[2/5])= 2: (6/5)
A:B:C = 3:2:(6/5) = 15:10:6
Second number = (10/31)×68 = 21.9 = 22
Most Upvoted Answer
The sum of the three number is 68.If the ratio of the first to second ...
Answer -B) 22 Explanation : A: B = 3:2
B:C = 5 : 3
B:C =(5×[2/5]) : (3×[2/5])= 2: (6/5)
A:B:C = 3:2:(6/5) = 15:10:6
Second number = (10/31)×68 = 21.9 = 22
B:C = 5 : 3
B:C =(5×[2/5]) : (3×[2/5])= 2: (6/5)
A:B:C = 3:2:(6/5) = 15:10:6
Second number = (10/31)×68 = 21.9 = 22
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Community Answer
The sum of the three number is 68.If the ratio of the first to second ...
Given:
- Sum of three numbers = 68
- Ratio of first to second number = 3:2
- Ratio of second to third number = 5:3
Let's assume the three numbers as 3x, 2x, and 5y respectively, where x and y are constants.
Sum of the three numbers = 68
=> 3x + 2x + 5y = 68
=> 5x + 5y = 68
=> x + y = 13.6
Ratio of first to second number = 3:2
=> 3x/2x = 3/2
=> x = 3y/2
Ratio of second to third number = 5:3
=> 2x/5y = 5/3
=> x = 25y/6
Equating the two values of x, we get:
3y/2 = 25y/6
=> y = 4.8
Putting the value of y in x + y = 13.6, we get:
x + 4.8 = 13.6
=> x = 8.8
Therefore, the second number is 2x = 17.6, which is closest to option B (22).
- Sum of three numbers = 68
- Ratio of first to second number = 3:2
- Ratio of second to third number = 5:3
Let's assume the three numbers as 3x, 2x, and 5y respectively, where x and y are constants.
Sum of the three numbers = 68
=> 3x + 2x + 5y = 68
=> 5x + 5y = 68
=> x + y = 13.6
Ratio of first to second number = 3:2
=> 3x/2x = 3/2
=> x = 3y/2
Ratio of second to third number = 5:3
=> 2x/5y = 5/3
=> x = 25y/6
Equating the two values of x, we get:
3y/2 = 25y/6
=> y = 4.8
Putting the value of y in x + y = 13.6, we get:
x + 4.8 = 13.6
=> x = 8.8
Therefore, the second number is 2x = 17.6, which is closest to option B (22).
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