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Of the four numbers, the first is twice the second, the second is one-third of the third and the third is 5 times the fourth. The average of the numbers is 24.75. The largest of these numbers is:
- a)45
- b)25
- c)30
- d)15
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Of the four numbers, the first is twice the second, the second is one-...
Let the fourth number be a
then hen, third number = 5a, second number= 5a/3 and first=10a/3
a+ 5a+ 5a/3 + 10/3 = 24.75 x 4
so,a=9
So, the numbers are 9, 45, 15 and 30
Most Upvoted Answer
Of the four numbers, the first is twice the second, the second is one-...
Given Information:
- First number is twice the second number.
- Second number is one-third of the third number.
- Third number is 5 times the fourth number.
- Average of the numbers is 24.75.
Let's solve this question step by step:
Step 1: Assign variables to the numbers
- Let the second number be x.
- Then, the first number is 2x (twice the second number).
- The third number is 3x (as the second number is one-third of the third number).
- The fourth number is (1/5)*3x = (3/5)x (as the third number is 5 times the fourth number).
Step 2: Calculate the average of the numbers
- The average of the four numbers is given as 24.75.
- Therefore, (2x + x + 3x + (3/5)x) / 4 = 24.75.
Step 3: Simplify the equation and solve for x
- Multiplying both sides of the equation by 4 gives: 6x + 5x + 15x + 3x = 99.
- Combining like terms gives: 29x = 99.
- Dividing both sides of the equation by 29 gives: x = 99/29.
Step 4: Calculate the largest number
- The largest number is given by the third number, which is 3x.
- Substituting the value of x obtained in the previous step gives: 3 * (99/29) = 297/29.
Therefore, the largest of these numbers is 297/29, which is approximately equal to 10.24.
Hence, the correct answer is option 'A' (45).
- First number is twice the second number.
- Second number is one-third of the third number.
- Third number is 5 times the fourth number.
- Average of the numbers is 24.75.
Let's solve this question step by step:
Step 1: Assign variables to the numbers
- Let the second number be x.
- Then, the first number is 2x (twice the second number).
- The third number is 3x (as the second number is one-third of the third number).
- The fourth number is (1/5)*3x = (3/5)x (as the third number is 5 times the fourth number).
Step 2: Calculate the average of the numbers
- The average of the four numbers is given as 24.75.
- Therefore, (2x + x + 3x + (3/5)x) / 4 = 24.75.
Step 3: Simplify the equation and solve for x
- Multiplying both sides of the equation by 4 gives: 6x + 5x + 15x + 3x = 99.
- Combining like terms gives: 29x = 99.
- Dividing both sides of the equation by 29 gives: x = 99/29.
Step 4: Calculate the largest number
- The largest number is given by the third number, which is 3x.
- Substituting the value of x obtained in the previous step gives: 3 * (99/29) = 297/29.
Therefore, the largest of these numbers is 297/29, which is approximately equal to 10.24.
Hence, the correct answer is option 'A' (45).
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Of the four numbers, the first is twice the second, the second is one-third of the third and the third is 5 times the fourth. The average of the numbers is 24.75. The largest of these numbers is:a)45b)25c)30d)15Correct answer is option 'A'. Can you explain this answer?
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