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The sum of the ages of 4 members of a family 5 year ago was 94 year. Today when the daughter has been married off and replaced by a daughter-in-law, the sum of their ages is 92 year. Assuming that there has been no other change in the family structure and all the people are alive, what is the difference between the age of daughter and the age of daughter in law?
- a)22 years
- b)11 years
- c)25 years
- d)19 years
- e)15 years
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The sum of the ages of 4 members of a family 5 year ago was 94 year. T...
5 year ago, Sum of the ages of 4 members = 94
Present age with daughter = 94 + 20 = 114
Present age with daughter-in-law = 92
Difference between the age of daughter and the age of daughter in law = 114 – 92 = 22 years.
Present age with daughter = 94 + 20 = 114
Present age with daughter-in-law = 92
Difference between the age of daughter and the age of daughter in law = 114 – 92 = 22 years.
Most Upvoted Answer
The sum of the ages of 4 members of a family 5 year ago was 94 year. T...
Given:
- The sum of the ages of 4 members of a family 5 years ago was 94 years.
- Today, when the daughter has been married off and replaced by a daughter-in-law, the sum of their ages is 92 years.
- There has been no other change in the family structure and all the people are alive.
To find:
The difference between the age of the daughter and the age of the daughter-in-law.
Assumptions:
- We assume that the ages of the family members are integers.
- We assume that the ages of the daughter and daughter-in-law are positive.
Solution:
Step 1: Set up Equations
Let's assume the ages of the four family members 5 years ago were A, B, C, and D, and the ages of the daughter and daughter-in-law are x and y, respectively.
According to the given information:
- The sum of their ages 5 years ago was 94, so A + B + C + D = 94.
- The sum of their ages today is 92, so (A + x) + (B + y) + C + D = 92.
Step 2: Simplify Equations
Combining the equations, we get:
(A + B + C + D) + (x + y) = 186
94 + (x + y) = 186
x + y = 186 - 94
x + y = 92
Step 3: Solve for the Difference in Ages
To find the difference between the age of the daughter and the age of the daughter-in-law, we need the values of x and y.
Since there has been no other change in the family structure and all the people are alive, we assume that the sum of their ages today is the same as 5 years ago.
Therefore, the difference in ages can be calculated as:
Difference = x - y
Difference = (x + y) - 2y
Difference = 92 - 2y
Step 4: Find the Difference
To find the difference, we need to determine the value of y.
Since the ages are positive integers, we can test different values of y to see which one satisfies the equation:
y = 1: Difference = 92 - 2(1) = 92 - 2 = 90 (Not possible)
y = 2: Difference = 92 - 2(2) = 92 - 4 = 88 (Not possible)
y = 3: Difference = 92 - 2(3) = 92 - 6 = 86 (Not possible)
y = 4: Difference = 92 - 2(4) = 92 - 8 = 84 (Not possible)
y = 5: Difference = 92 - 2(5) = 92 - 10 = 82 (Not possible)
y = 6: Difference = 92 - 2(6) = 92 - 12 = 80 (Not possible)
y = 7: Difference = 92 - 2(7) = 92 - 14 = 78 (Not possible)
y = 8: Difference = 92 - 2(8)
- The sum of the ages of 4 members of a family 5 years ago was 94 years.
- Today, when the daughter has been married off and replaced by a daughter-in-law, the sum of their ages is 92 years.
- There has been no other change in the family structure and all the people are alive.
To find:
The difference between the age of the daughter and the age of the daughter-in-law.
Assumptions:
- We assume that the ages of the family members are integers.
- We assume that the ages of the daughter and daughter-in-law are positive.
Solution:
Step 1: Set up Equations
Let's assume the ages of the four family members 5 years ago were A, B, C, and D, and the ages of the daughter and daughter-in-law are x and y, respectively.
According to the given information:
- The sum of their ages 5 years ago was 94, so A + B + C + D = 94.
- The sum of their ages today is 92, so (A + x) + (B + y) + C + D = 92.
Step 2: Simplify Equations
Combining the equations, we get:
(A + B + C + D) + (x + y) = 186
94 + (x + y) = 186
x + y = 186 - 94
x + y = 92
Step 3: Solve for the Difference in Ages
To find the difference between the age of the daughter and the age of the daughter-in-law, we need the values of x and y.
Since there has been no other change in the family structure and all the people are alive, we assume that the sum of their ages today is the same as 5 years ago.
Therefore, the difference in ages can be calculated as:
Difference = x - y
Difference = (x + y) - 2y
Difference = 92 - 2y
Step 4: Find the Difference
To find the difference, we need to determine the value of y.
Since the ages are positive integers, we can test different values of y to see which one satisfies the equation:
y = 1: Difference = 92 - 2(1) = 92 - 2 = 90 (Not possible)
y = 2: Difference = 92 - 2(2) = 92 - 4 = 88 (Not possible)
y = 3: Difference = 92 - 2(3) = 92 - 6 = 86 (Not possible)
y = 4: Difference = 92 - 2(4) = 92 - 8 = 84 (Not possible)
y = 5: Difference = 92 - 2(5) = 92 - 10 = 82 (Not possible)
y = 6: Difference = 92 - 2(6) = 92 - 12 = 80 (Not possible)
y = 7: Difference = 92 - 2(7) = 92 - 14 = 78 (Not possible)
y = 8: Difference = 92 - 2(8)
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The sum of the ages of 4 members of a family 5 year ago was 94 year. Today when the daughter has been married off and replaced by a daughter-in-law, the sum of their ages is 92 year. Assuming that there has been no other change in the family structure and all the people are alive, what is the difference between the age of daughter and the age of daughter in law?a)22 yearsb)11 yearsc)25 yearsd)19 yearse)15 yearsCorrect answer is option 'A'. Can you explain this answer?
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The sum of the ages of 4 members of a family 5 year ago was 94 year. Today when the daughter has been married off and replaced by a daughter-in-law, the sum of their ages is 92 year. Assuming that there has been no other change in the family structure and all the people are alive, what is the difference between the age of daughter and the age of daughter in law?a)22 yearsb)11 yearsc)25 yearsd)19 yearse)15 yearsCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The sum of the ages of 4 members of a family 5 year ago was 94 year. Today when the daughter has been married off and replaced by a daughter-in-law, the sum of their ages is 92 year. Assuming that there has been no other change in the family structure and all the people are alive, what is the difference between the age of daughter and the age of daughter in law?a)22 yearsb)11 yearsc)25 yearsd)19 yearse)15 yearsCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of the ages of 4 members of a family 5 year ago was 94 year. Today when the daughter has been married off and replaced by a daughter-in-law, the sum of their ages is 92 year. Assuming that there has been no other change in the family structure and all the people are alive, what is the difference between the age of daughter and the age of daughter in law?a)22 yearsb)11 yearsc)25 yearsd)19 yearse)15 yearsCorrect answer is option 'A'. Can you explain this answer?.
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