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5 years ago, average age of P and Q was 15 years. At present, average age of P, Q and R is 20 years. What will be the average age after 10 years ?
- a)35 years
- b)40 years
- c)30 years
- d)50 years
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
5 years ago, average age of P and Q was 15 years. At present, average ...
The average age increases with age. So, after 10 years, the average age is 20 + 10 = 30 years.
Most Upvoted Answer
5 years ago, average age of P and Q was 15 years. At present, average ...
Let's solve the problem step by step:
Given information:
- 5 years ago, the average age of P and Q was 15 years.
- At present, the average age of P, Q, and R is 20 years.
Step 1: Calculate the current ages of P and Q
Let's assume the current age of P is P years and the current age of Q is Q years.
5 years ago, the average age of P and Q was 15 years.
So, the sum of their ages 5 years ago = 2 * 15 = 30.
Since 5 years have passed, their current sum of ages = 30 + 2 * 5 = 40.
Therefore, P + Q = 40. ----(1)
Step 2: Calculate the current age of R
At present, the average age of P, Q, and R is 20 years.
So, the sum of their current ages = 3 * 20 = 60.
Therefore, P + Q + R = 60. ----(2)
Step 3: Calculate the current ages of P, Q, and R
From equations (1) and (2), we can subtract equation (1) from equation (2) to get the value of R.
(P + Q + R) - (P + Q) = 60 - 40
R = 20.
Step 4: Calculate the current average age of P, Q, and R
The current average age of P, Q, and R = (P + Q + R)/3 = 60/3 = 20.
Step 5: Calculate the average age after 10 years
After 10 years, the age of each person will increase by 10.
So, the new sum of ages of P, Q, and R = (P + 10) + (Q + 10) + (R + 10) = (P + Q + R) + 30.
The new average age = (P + Q + R + 30)/3 = (60 + 30)/3 = 90/3 = 30.
Therefore, the average age after 10 years will be 30 years. Hence, the correct answer is option (c).
Given information:
- 5 years ago, the average age of P and Q was 15 years.
- At present, the average age of P, Q, and R is 20 years.
Step 1: Calculate the current ages of P and Q
Let's assume the current age of P is P years and the current age of Q is Q years.
5 years ago, the average age of P and Q was 15 years.
So, the sum of their ages 5 years ago = 2 * 15 = 30.
Since 5 years have passed, their current sum of ages = 30 + 2 * 5 = 40.
Therefore, P + Q = 40. ----(1)
Step 2: Calculate the current age of R
At present, the average age of P, Q, and R is 20 years.
So, the sum of their current ages = 3 * 20 = 60.
Therefore, P + Q + R = 60. ----(2)
Step 3: Calculate the current ages of P, Q, and R
From equations (1) and (2), we can subtract equation (1) from equation (2) to get the value of R.
(P + Q + R) - (P + Q) = 60 - 40
R = 20.
Step 4: Calculate the current average age of P, Q, and R
The current average age of P, Q, and R = (P + Q + R)/3 = 60/3 = 20.
Step 5: Calculate the average age after 10 years
After 10 years, the age of each person will increase by 10.
So, the new sum of ages of P, Q, and R = (P + 10) + (Q + 10) + (R + 10) = (P + Q + R) + 30.
The new average age = (P + Q + R + 30)/3 = (60 + 30)/3 = 90/3 = 30.
Therefore, the average age after 10 years will be 30 years. Hence, the correct answer is option (c).
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5 years ago, average age of P and Q was 15 years. At present, average ...
C) 30 year
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5 years ago, average age of P and Q was 15 years. At present, average age of P, Q and R is 20 years. What will be the average age after 10 years ?a)35 yearsb)40 yearsc)30 yearsd)50 yearsCorrect answer is option 'C'. Can you explain this answer?
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5 years ago, average age of P and Q was 15 years. At present, average age of P, Q and R is 20 years. What will be the average age after 10 years ?a)35 yearsb)40 yearsc)30 yearsd)50 yearsCorrect answer is option 'C'. 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 5 years ago, average age of P and Q was 15 years. At present, average age of P, Q and R is 20 years. What will be the average age after 10 years ?a)35 yearsb)40 yearsc)30 yearsd)50 yearsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 5 years ago, average age of P and Q was 15 years. At present, average age of P, Q and R is 20 years. What will be the average age after 10 years ?a)35 yearsb)40 yearsc)30 yearsd)50 yearsCorrect answer is option 'C'. Can you explain this answer?.
5 years ago, average age of P and Q was 15 years. At present, average age of P, Q and R is 20 years. What will be the average age after 10 years ?a)35 yearsb)40 yearsc)30 yearsd)50 yearsCorrect answer is option 'C'. 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 5 years ago, average age of P and Q was 15 years. At present, average age of P, Q and R is 20 years. What will be the average age after 10 years ?a)35 yearsb)40 yearsc)30 yearsd)50 yearsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 5 years ago, average age of P and Q was 15 years. At present, average age of P, Q and R is 20 years. What will be the average age after 10 years ?a)35 yearsb)40 yearsc)30 yearsd)50 yearsCorrect answer is option 'C'. Can you explain this answer?.
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