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The average of three numbers is 40. The first number is twice the second and the second one is thrice the third number. The difference between the largest and the smallest numbers is?
- a)30
- b)36
- c)46
- d)60
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The average of three numbers is 40. The first number is twice the sec...
Let the third number be x
View all questions of this test
∴ second number = 3x
First number = 6x
∴ 
⇒ 10x = 120 ⇒ x = 12
∴ required difference
= 6x - x = 5x = 5 x 12 = 60
Most Upvoted Answer
The average of three numbers is 40. The first number is twice the sec...
To solve this problem, let's assume the three numbers as follows:
First number = x
Second number = y
Third number = z
Given conditions:
1) The average of three numbers is 40.
(x + y + z) / 3 = 40
2) The first number is twice the second.
x = 2y
3) The second number is thrice the third.
y = 3z
We need to find the difference between the largest and smallest numbers.
------------------------------------------------------------------
Solving the equations:
From equation (2), we can substitute the value of x in terms of y into equation (1):
(2y + y + z) / 3 = 40
(3y + z) / 3 = 40
3y + z = 120
From equation (3), we can substitute the value of y in terms of z into the above equation:
3(3z) + z = 120
9z + z = 120
10z = 120
z = 12
Now, substitute the value of z back into equation (3) to find y:
y = 3z
y = 3(12)
y = 36
Finally, substitute the values of y and z into equation (2) to find x:
x = 2y
x = 2(36)
x = 72
------------------------------------------------------------------
Difference between the largest and smallest numbers:
The largest number is x = 72, and the smallest number is z = 12.
Therefore, the difference between the largest and smallest numbers is:
72 - 12 = 60
Hence, the correct answer is option D) 60.
First number = x
Second number = y
Third number = z
Given conditions:
1) The average of three numbers is 40.
(x + y + z) / 3 = 40
2) The first number is twice the second.
x = 2y
3) The second number is thrice the third.
y = 3z
We need to find the difference between the largest and smallest numbers.
------------------------------------------------------------------
Solving the equations:
From equation (2), we can substitute the value of x in terms of y into equation (1):
(2y + y + z) / 3 = 40
(3y + z) / 3 = 40
3y + z = 120
From equation (3), we can substitute the value of y in terms of z into the above equation:
3(3z) + z = 120
9z + z = 120
10z = 120
z = 12
Now, substitute the value of z back into equation (3) to find y:
y = 3z
y = 3(12)
y = 36
Finally, substitute the values of y and z into equation (2) to find x:
x = 2y
x = 2(36)
x = 72
------------------------------------------------------------------
Difference between the largest and smallest numbers:
The largest number is x = 72, and the smallest number is z = 12.
Therefore, the difference between the largest and smallest numbers is:
72 - 12 = 60
Hence, the correct answer is option D) 60.
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The average of three numbers is 40. The first number is twice the second and the second one is thrice the third number. The difference between the largest and the smallest numbers is?a)30b)36c)46d)60Correct answer is option 'D'. Can you explain this answer?
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The average of three numbers is 40. The first number is twice the second and the second one is thrice the third number. The difference between the largest and the smallest numbers is?a)30b)36c)46d)60Correct answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about The average of three numbers is 40. The first number is twice the second and the second one is thrice the third number. The difference between the largest and the smallest numbers is?a)30b)36c)46d)60Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average of three numbers is 40. The first number is twice the second and the second one is thrice the third number. The difference between the largest and the smallest numbers is?a)30b)36c)46d)60Correct answer is option 'D'. Can you explain this answer?.
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