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The average of three numbers is 77. If the 1st number is twice that of 2nd number and the 2nd number is twice that of 3rd number, then the 1st number is___. (in numerical value)
Correct answer is '132'. Can you explain this answer?
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Verified Answer
The average of three numbers is 77. If the 1st number is twice that of...
Let the three nos be a, b and c
So
⇒ a + b + c = 231 ...(1)
Now, we are given that
Using equation (1),
So Answer is option 1
So
⇒ a + b + c = 231 ...(1)
Now, we are given that
Using equation (1),
So Answer is option 1
Most Upvoted Answer
The average of three numbers is 77. If the 1st number is twice that of...
The given problem can be solved by setting up a system of equations and then solving them to find the values of the numbers. Let's break down the problem step by step.
Let's assume the three numbers are A, B, and C.
We are given the following information:
- The average of the three numbers is 77.
- The first number (A) is twice the second number (B).
- The second number (B) is twice the third number (C).
Let's set up the equations:
1. The average of the three numbers is 77:
(A + B + C) / 3 = 77
2. The first number (A) is twice the second number (B):
A = 2B
3. The second number (B) is twice the third number (C):
B = 2C
Now, we can solve these equations to find the values of A, B, and C.
Solving the equations:
Substitute the value of A from equation 2 into equation 1:
(2B + B + C) / 3 = 77
(3B + C) / 3 = 77
3B + C = 231
Substitute the value of B from equation 3 into the above equation:
3(2C) + C = 231
6C + C = 231
7C = 231
C = 231 / 7
C = 33
Substitute the value of C into equation 3 to find B:
B = 2C
B = 2 * 33
B = 66
Substitute the value of B into equation 2 to find A:
A = 2B
A = 2 * 66
A = 132
Therefore, the first number (A) is 132.
Let's assume the three numbers are A, B, and C.
We are given the following information:
- The average of the three numbers is 77.
- The first number (A) is twice the second number (B).
- The second number (B) is twice the third number (C).
Let's set up the equations:
1. The average of the three numbers is 77:
(A + B + C) / 3 = 77
2. The first number (A) is twice the second number (B):
A = 2B
3. The second number (B) is twice the third number (C):
B = 2C
Now, we can solve these equations to find the values of A, B, and C.
Solving the equations:
Substitute the value of A from equation 2 into equation 1:
(2B + B + C) / 3 = 77
(3B + C) / 3 = 77
3B + C = 231
Substitute the value of B from equation 3 into the above equation:
3(2C) + C = 231
6C + C = 231
7C = 231
C = 231 / 7
C = 33
Substitute the value of C into equation 3 to find B:
B = 2C
B = 2 * 33
B = 66
Substitute the value of B into equation 2 to find A:
A = 2B
A = 2 * 66
A = 132
Therefore, the first number (A) is 132.
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Community Answer
The average of three numbers is 77. If the 1st number is twice that of...
Let the three nos be a, b and c
So
⇒ a + b + c = 231 ...(1)
Now, we are given that
Using equation (1),
So Answer is option 1
So
⇒ a + b + c = 231 ...(1)
Now, we are given that
Using equation (1),
So Answer is option 1
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The average of three numbers is 77. If the 1st number is twice that of 2ndnumber and the 2ndnumber is twice that of 3rdnumber, then the 1stnumber is___. (in numerical value)Correct answer is '132'. Can you explain this answer?
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The average of three numbers is 77. If the 1st number is twice that of 2ndnumber and the 2ndnumber is twice that of 3rdnumber, then the 1stnumber is___. (in numerical value)Correct answer is '132'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The average of three numbers is 77. If the 1st number is twice that of 2ndnumber and the 2ndnumber is twice that of 3rdnumber, then the 1stnumber is___. (in numerical value)Correct answer is '132'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average of three numbers is 77. If the 1st number is twice that of 2ndnumber and the 2ndnumber is twice that of 3rdnumber, then the 1stnumber is___. (in numerical value)Correct answer is '132'. Can you explain this answer?.
The average of three numbers is 77. If the 1st number is twice that of 2ndnumber and the 2ndnumber is twice that of 3rdnumber, then the 1stnumber is___. (in numerical value)Correct answer is '132'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The average of three numbers is 77. If the 1st number is twice that of 2ndnumber and the 2ndnumber is twice that of 3rdnumber, then the 1stnumber is___. (in numerical value)Correct answer is '132'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average of three numbers is 77. If the 1st number is twice that of 2ndnumber and the 2ndnumber is twice that of 3rdnumber, then the 1stnumber is___. (in numerical value)Correct answer is '132'. Can you explain this answer?.
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