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The average ages of A and B is 157.14% of the average age of C and D. 10 years ago, the ages of A, B, C and D were ‘X + 12’ years, ‘X + 16’ years, ‘X + 2’ years and ‘X − 6’ years, respectively. What is the present average age (in years) of A and D?
  • a)
    28
  • b)
    27
  • c)
    33
  • d)
    31
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The average ages of A and B is 157.14% of the average age of C and D. ...
Given Information:
- Average age of A and B = 157.14% of the average age of C and D
- 10 years ago, ages were: A (X + 12), B (X + 16), C (X + 2), D (X - 6)

Solution:

Step 1: Calculate the average age of A and B
Let the average age of A and B be \( \frac{A + B}{2} \)
Using the given information, we have:
\( \frac{A + B}{2} = 1.5714 \times \frac{C + D}{2} \)
\( A + B = 1.5714 \times (C + D) \)

Step 2: Calculate the present ages of A, B, C, and D
Present age of A = X + 12 + 10 = X + 22
Present age of B = X + 16 + 10 = X + 26
Present age of C = X + 2 + 10 = X + 12
Present age of D = X - 6 + 10 = X + 4

Step 3: Calculate the average age of A and D
Average age of A and D = (A + D) / 2
Substitute the present ages of A and D:
Average age of A and D = (X + 22 + X + 4) / 2
Average age of A and D = (2X + 26) / 2
Average age of A and D = X + 13

Step 4: Find the present average age of A and D
To find the present average age of A and D, substitute the value of X in the equation X + 13.
Since the value of X is not given, we cannot calculate the exact present average age of A and D.
Free Test
Community Answer
The average ages of A and B is 157.14% of the average age of C and D. ...

(A + B) : (C + D) = 11 : 7
(X + 12 + X + 16 + 20) : (X + 2 + X – 6 + 20) = 11 : 7
X = 20
10 years ago age of A = 32, B = 36, C = 22 and D = 14
Present age of A = 42, B = 46, C = 32 and D = 24
Present average age of A and D

Hence, option C is correct.
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The average ages of A and B is 157.14% of the average age of C and D. 10 years ago, the ages of A, B, C and D were ‘X + 12’ years, ‘X + 16’ years, ‘X + 2’ years and ‘X − 6’ years, respectively. What is the present average age (in years) of A and D?a)28b)27c)33d)31Correct answer is option 'C'. Can you explain this answer?
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The average ages of A and B is 157.14% of the average age of C and D. 10 years ago, the ages of A, B, C and D were ‘X + 12’ years, ‘X + 16’ years, ‘X + 2’ years and ‘X − 6’ years, respectively. What is the present average age (in years) of A and D?a)28b)27c)33d)31Correct answer is option 'C'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about The average ages of A and B is 157.14% of the average age of C and D. 10 years ago, the ages of A, B, C and D were ‘X + 12’ years, ‘X + 16’ years, ‘X + 2’ years and ‘X − 6’ years, respectively. What is the present average age (in years) of A and D?a)28b)27c)33d)31Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average ages of A and B is 157.14% of the average age of C and D. 10 years ago, the ages of A, B, C and D were ‘X + 12’ years, ‘X + 16’ years, ‘X + 2’ years and ‘X − 6’ years, respectively. What is the present average age (in years) of A and D?a)28b)27c)33d)31Correct answer is option 'C'. Can you explain this answer?.
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