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Of three numbers ,the second is twice the first and thrice the third.if the average of numbers is 44,the difference between the first number and the third number,?? Pls tell me the answer?
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Of three numbers ,the second is twice the first and thrice the third.i...
Understanding the Problem
We have three numbers, let's denote them as A, B, and C. According to the problem:
- The second number (B) is twice the first number (A).
- The second number (B) is thrice the third number (C).
- The average of the three numbers is 44.
Setting Up Equations
Based on the given information, we can express these relationships mathematically:
1. B = 2A
2. B = 3C
Now, we know the average of the numbers:
\[
\text{Average} = \frac{A + B + C}{3} = 44
\]
This implies:
\[
A + B + C = 132
\]
Substituting the Values
Now, we can substitute B from the first equation into the average equation:
- From B = 2A, we can express C using B:
- C = B/3 = (2A)/3
Now substitute B and C into the sum equation:
\[
A + 2A + \frac{2A}{3} = 132
\]
Combining these terms:
\[
3A + \frac{2A}{3} = 132
\]
To simplify, convert 3A into a fraction:
\[
\frac{9A}{3} + \frac{2A}{3} = 132
\]
Combining gives:
\[
\frac{11A}{3} = 132
\]
Multiplying both sides by 3:
\[
11A = 396
\]
Solving for A:
\[
A = 36
\]
Finding B and C
Now substituting A back to find B and C:
- B = 2A = 2 * 36 = 72
- C = B/3 = 72/3 = 24
Calculating the Difference
Finally, the difference between the first number (A) and the third number (C):
\[
\text{Difference} = A - C = 36 - 24 = 12
\]
Conclusion
The difference between the first number and the third number is 12.
We have three numbers, let's denote them as A, B, and C. According to the problem:
- The second number (B) is twice the first number (A).
- The second number (B) is thrice the third number (C).
- The average of the three numbers is 44.
Setting Up Equations
Based on the given information, we can express these relationships mathematically:
1. B = 2A
2. B = 3C
Now, we know the average of the numbers:
\[
\text{Average} = \frac{A + B + C}{3} = 44
\]
This implies:
\[
A + B + C = 132
\]
Substituting the Values
Now, we can substitute B from the first equation into the average equation:
- From B = 2A, we can express C using B:
- C = B/3 = (2A)/3
Now substitute B and C into the sum equation:
\[
A + 2A + \frac{2A}{3} = 132
\]
Combining these terms:
\[
3A + \frac{2A}{3} = 132
\]
To simplify, convert 3A into a fraction:
\[
\frac{9A}{3} + \frac{2A}{3} = 132
\]
Combining gives:
\[
\frac{11A}{3} = 132
\]
Multiplying both sides by 3:
\[
11A = 396
\]
Solving for A:
\[
A = 36
\]
Finding B and C
Now substituting A back to find B and C:
- B = 2A = 2 * 36 = 72
- C = B/3 = 72/3 = 24
Calculating the Difference
Finally, the difference between the first number (A) and the third number (C):
\[
\text{Difference} = A - C = 36 - 24 = 12
\]
Conclusion
The difference between the first number and the third number is 12.
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Of three numbers ,the second is twice the first and thrice the third.if the average of numbers is 44,the difference between the first number and the third number,?? Pls tell me the answer?
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Of three numbers ,the second is twice the first and thrice the third.if the average of numbers is 44,the difference between the first number and the third number,?? Pls tell me the answer? for CLAT 2024 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about Of three numbers ,the second is twice the first and thrice the third.if the average of numbers is 44,the difference between the first number and the third number,?? Pls tell me the answer? covers all topics & solutions for CLAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Of three numbers ,the second is twice the first and thrice the third.if the average of numbers is 44,the difference between the first number and the third number,?? Pls tell me the answer?.
Of three numbers ,the second is twice the first and thrice the third.if the average of numbers is 44,the difference between the first number and the third number,?? Pls tell me the answer? for CLAT 2024 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about Of three numbers ,the second is twice the first and thrice the third.if the average of numbers is 44,the difference between the first number and the third number,?? Pls tell me the answer? covers all topics & solutions for CLAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Of three numbers ,the second is twice the first and thrice the third.if the average of numbers is 44,the difference between the first number and the third number,?? Pls tell me the answer?.
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