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5 years ago the average age of a family which includes father, mother and a son was 35 years. 3 years ago the average age of father and mother was 46 years. What is the present age (in years) of the son?
- a)20
- b)24
- c)26
- d)22
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
5 years ago the average age of a family which includes father, mother ...
5 years ago, average age of father, mother and son = 35 years
Therefore, sum of their present ages = 35 × 3 + 5 × 3
= 120 years
Also, 3 years ago, sum of ages of father and mother = 46 years
Then, their present ages = 46 × 2 + 6
= 98 years
Thus, present age of the son = 120 – 98
= 22 years
Therefore, sum of their present ages = 35 × 3 + 5 × 3
= 120 years
Also, 3 years ago, sum of ages of father and mother = 46 years
Then, their present ages = 46 × 2 + 6
= 98 years
Thus, present age of the son = 120 – 98
= 22 years
Most Upvoted Answer
5 years ago the average age of a family which includes father, mother ...
Given information:
- 5 years ago, the average age of a family (father, mother, and son) was 35 years.
- 3 years ago, the average age of the father and mother was 46 years.
Let's assume the present age of the son is S years, the present age of the father is F years, and the present age of the mother is M years.
Calculating the average age 5 years ago:
- 5 years ago, the age of the son would have been S - 5 years.
- 5 years ago, the age of the father would have been F - 5 years.
- 5 years ago, the age of the mother would have been M - 5 years.
The average age 5 years ago is given as 35, so we can write the equation:
(S - 5 + F - 5 + M - 5) / 3 = 35
Simplifying the equation:
(S + F + M - 15) / 3 = 35
(S + F + M) - 15 = 35 * 3
(S + F + M) - 15 = 105
(S + F + M) = 105 + 15
(S + F + M) = 120 ----(1)
Calculating the average age 3 years ago:
- 3 years ago, the age of the father would have been F - 3 years.
- 3 years ago, the age of the mother would have been M - 3 years.
The average age of the father and mother 3 years ago is given as 46, so we can write the equation:
(F - 3 + M - 3) / 2 = 46
Simplifying the equation:
(F + M - 6) / 2 = 46
(F + M) - 6 = 46 * 2
(F + M) - 6 = 92
(F + M) = 92 + 6
(F + M) = 98 ----(2)
Solving equations (1) and (2) simultaneously:
From equation (1), we have (S + F + M) = 120.
From equation (2), we have (F + M) = 98.
Subtracting equation (2) from equation (1), we get:
(S + F + M) - (F + M) = 120 - 98
Simplifying the equation:
S = 22
Therefore, the present age of the son is 22 years. Hence, the correct answer is option D.
- 5 years ago, the average age of a family (father, mother, and son) was 35 years.
- 3 years ago, the average age of the father and mother was 46 years.
Let's assume the present age of the son is S years, the present age of the father is F years, and the present age of the mother is M years.
Calculating the average age 5 years ago:
- 5 years ago, the age of the son would have been S - 5 years.
- 5 years ago, the age of the father would have been F - 5 years.
- 5 years ago, the age of the mother would have been M - 5 years.
The average age 5 years ago is given as 35, so we can write the equation:
(S - 5 + F - 5 + M - 5) / 3 = 35
Simplifying the equation:
(S + F + M - 15) / 3 = 35
(S + F + M) - 15 = 35 * 3
(S + F + M) - 15 = 105
(S + F + M) = 105 + 15
(S + F + M) = 120 ----(1)
Calculating the average age 3 years ago:
- 3 years ago, the age of the father would have been F - 3 years.
- 3 years ago, the age of the mother would have been M - 3 years.
The average age of the father and mother 3 years ago is given as 46, so we can write the equation:
(F - 3 + M - 3) / 2 = 46
Simplifying the equation:
(F + M - 6) / 2 = 46
(F + M) - 6 = 46 * 2
(F + M) - 6 = 92
(F + M) = 92 + 6
(F + M) = 98 ----(2)
Solving equations (1) and (2) simultaneously:
From equation (1), we have (S + F + M) = 120.
From equation (2), we have (F + M) = 98.
Subtracting equation (2) from equation (1), we get:
(S + F + M) - (F + M) = 120 - 98
Simplifying the equation:
S = 22
Therefore, the present age of the son is 22 years. Hence, the correct answer is option D.
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5 years ago the average age of a family which includes father, mother and a son was 35 years. 3 years ago the average age of father and mother was 46 years. What is the present age (in years) of the son?a)20b)24c)26d)22Correct answer is option 'D'. Can you explain this answer?
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5 years ago the average age of a family which includes father, mother and a son was 35 years. 3 years ago the average age of father and mother was 46 years. What is the present age (in years) of the son?a)20b)24c)26d)22Correct 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 5 years ago the average age of a family which includes father, mother and a son was 35 years. 3 years ago the average age of father and mother was 46 years. What is the present age (in years) of the son?a)20b)24c)26d)22Correct 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 5 years ago the average age of a family which includes father, mother and a son was 35 years. 3 years ago the average age of father and mother was 46 years. What is the present age (in years) of the son?a)20b)24c)26d)22Correct answer is option 'D'. Can you explain this answer?.
5 years ago the average age of a family which includes father, mother and a son was 35 years. 3 years ago the average age of father and mother was 46 years. What is the present age (in years) of the son?a)20b)24c)26d)22Correct 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 5 years ago the average age of a family which includes father, mother and a son was 35 years. 3 years ago the average age of father and mother was 46 years. What is the present age (in years) of the son?a)20b)24c)26d)22Correct 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 5 years ago the average age of a family which includes father, mother and a son was 35 years. 3 years ago the average age of father and mother was 46 years. What is the present age (in years) of the son?a)20b)24c)26d)22Correct answer is option 'D'. Can you explain this answer?.
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