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Half of the sum of theages of Rohit, his wife and hisdaughter after 6 years will be 41 years. After 8 years, the age of his daughter will be half the present age of his wife. Rohit’s age after 18 years will be equal to his wife’s age 10 years later. What will be his daughter’s age after 3 years?
- a)11 years
- b)13 years
- c)21 years
- d)31 years
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Half of the sum of theages of Rohit, his wife and hisdaughter after 6...
Problem Analysis:
Let's assume the present ages of Rohit, his wife, and his daughter as R, W, and D respectively. We are given the following conditions:
1. Half of the sum of their ages after 6 years will be 41 years.
2. After 8 years, the age of the daughter will be half the present age of the wife.
3. Rohit's age after 18 years will be equal to his wife's age 10 years later.
Solution:
We will solve the problem step by step based on the given conditions.
Condition 1: Half of the sum of their ages after 6 years will be 41 years
After 6 years, the sum of their ages will be (R + 6) + (W + 6) + (D + 6).
Half of this sum will be (R + W + D + 18) / 2.
According to the condition, (R + W + D + 18) / 2 = 41.
Simplifying the equation, we get R + W + D + 18 = 82.
Condition 2: After 8 years, the age of the daughter will be half the present age of the wife
After 8 years, the age of the daughter will be (D + 8) and the present age of the wife is W.
According to the condition, (D + 8) = (W / 2).
Simplifying the equation, we get 2D + 16 = W.
Condition 3: Rohit's age after 18 years will be equal to his wife's age 10 years later
After 18 years, Rohit's age will be (R + 18) and his wife's age 10 years later will be (W + 10).
According to the condition, (R + 18) = (W + 10).
Simplifying the equation, we get R - W = -8.
Calculating the ages:
Now we have a system of three equations with three variables (R, W, and D). We can solve these equations to find their values.
Equation 1: R + W + D + 18 = 82
Equation 2: 2D + 16 = W
Equation 3: R - W = -8
Solving these equations simultaneously, we get R = 25, W = 33, and D = 12.
Calculating the daughter's age after 3 years:
The present age of the daughter is 12. After 3 years, her age will be 12 + 3 = 15.
Therefore, the daughter's age after 3 years will be 15.
Hence, the correct answer is option A) 11 years.
Let's assume the present ages of Rohit, his wife, and his daughter as R, W, and D respectively. We are given the following conditions:
1. Half of the sum of their ages after 6 years will be 41 years.
2. After 8 years, the age of the daughter will be half the present age of the wife.
3. Rohit's age after 18 years will be equal to his wife's age 10 years later.
Solution:
We will solve the problem step by step based on the given conditions.
Condition 1: Half of the sum of their ages after 6 years will be 41 years
After 6 years, the sum of their ages will be (R + 6) + (W + 6) + (D + 6).
Half of this sum will be (R + W + D + 18) / 2.
According to the condition, (R + W + D + 18) / 2 = 41.
Simplifying the equation, we get R + W + D + 18 = 82.
Condition 2: After 8 years, the age of the daughter will be half the present age of the wife
After 8 years, the age of the daughter will be (D + 8) and the present age of the wife is W.
According to the condition, (D + 8) = (W / 2).
Simplifying the equation, we get 2D + 16 = W.
Condition 3: Rohit's age after 18 years will be equal to his wife's age 10 years later
After 18 years, Rohit's age will be (R + 18) and his wife's age 10 years later will be (W + 10).
According to the condition, (R + 18) = (W + 10).
Simplifying the equation, we get R - W = -8.
Calculating the ages:
Now we have a system of three equations with three variables (R, W, and D). We can solve these equations to find their values.
Equation 1: R + W + D + 18 = 82
Equation 2: 2D + 16 = W
Equation 3: R - W = -8
Solving these equations simultaneously, we get R = 25, W = 33, and D = 12.
Calculating the daughter's age after 3 years:
The present age of the daughter is 12. After 3 years, her age will be 12 + 3 = 15.
Therefore, the daughter's age after 3 years will be 15.
Hence, the correct answer is option A) 11 years.
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Community Answer
Half of the sum of theages of Rohit, his wife and hisdaughter after 6...
Let the present age of Rohit, daughter and wife = R, D and W years
According to question,
After 6 years, [1/2 x (Rohit + wife + daughter + 18) = 41 years]
1/2 x (R + W + D + 18) = 41
R + W + D = 82 – 18
R + W + D = 64 ……………….. (1)
After 8 years the age of his daughter = 1/2 xpresent age of his wife
D + 8 = 1/2 x W
W – 2D = 16 ……………….. (2)
Rohit’s age after 18 years =Rohit’swife’s age 10 years later
R + 18 = W + 10
W – R = 8 ……………….. (3)
From three equations we get,
W = 32 years
R = 24 years
D = 8 years
Rohit’s daughter age after 3 years = 11 years
Hence, answer is option A
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Half of the sum of theages of Rohit, his wife and hisdaughter after 6 years will be 41 years. After 8 years, the age of his daughter will be half the present age of his wife. Rohit’s age after 18 years will be equal to his wife’s age 10 years later. What will be his daughter’s age after 3 years?a)11 yearsb)13 yearsc)21 yearsd)31 yearse)None of theseCorrect answer is option 'A'. Can you explain this answer?
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Half of the sum of theages of Rohit, his wife and hisdaughter after 6 years will be 41 years. After 8 years, the age of his daughter will be half the present age of his wife. Rohit’s age after 18 years will be equal to his wife’s age 10 years later. What will be his daughter’s age after 3 years?a)11 yearsb)13 yearsc)21 yearsd)31 yearse)None of theseCorrect answer is option 'A'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Half of the sum of theages of Rohit, his wife and hisdaughter after 6 years will be 41 years. After 8 years, the age of his daughter will be half the present age of his wife. Rohit’s age after 18 years will be equal to his wife’s age 10 years later. What will be his daughter’s age after 3 years?a)11 yearsb)13 yearsc)21 yearsd)31 yearse)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Half of the sum of theages of Rohit, his wife and hisdaughter after 6 years will be 41 years. After 8 years, the age of his daughter will be half the present age of his wife. Rohit’s age after 18 years will be equal to his wife’s age 10 years later. What will be his daughter’s age after 3 years?a)11 yearsb)13 yearsc)21 yearsd)31 yearse)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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