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Present age of Husband and Wife is 28 and 24 Years respectively. At that age twin babies were born to them. After how many years the average of the family will be same as before babies were born?
- a)10 Years
- b)11 Years
- c)12 Years
- d)13 Years
- e)Cannot be determined
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Present age of Husband and Wife is 28 and 24 Years respectively. At th...
28+24/2 =26 = (28+x+24+x+2x)/4
104 = (52+4x)
x= 13
104 = (52+4x)
x= 13
Most Upvoted Answer
Present age of Husband and Wife is 28 and 24 Years respectively. At th...
28+24/2 =26 = (28+x+24+x+2x)/4
104 = (52+4x)
x= 13
104 = (52+4x)
x= 13
Community Answer
Present age of Husband and Wife is 28 and 24 Years respectively. At th...
Solution:
Let's assume that the family had n members before the babies were born. Therefore, the average age of the family was (28n + 24n)/n = 52 years.
After the twins were born, the family size increased by 2, and the total age of the family increased by 2 × 0 = 0 years (since the babies were just born and had age 0). Therefore, the new average age of the family is:
(28n + 24n + 0) / (n + 2) = (52n + 0) / (n + 2) = (52n / (n + 2))
We want to find after how many years the average age of the family will be the same as before the babies were born. Let's assume that the family will take x years to reach this point.
After x years, the husband will be 28 + x years old, the wife will be 24 + x years old, and the twins will be x years old. Therefore, the sum of the ages of the family members will be:
(28 + x) + (24 + x) + x + x = 52 + 3x
The family size will still be n + 2 since the twins will still be part of the family. Therefore, the average age of the family after x years will be:
(52 + 3x) / (n + 2)
We want this average age to be equal to 52, which was the average age before the babies were born. Therefore, we can write:
(52 + 3x) / (n + 2) = 52
Solving for x, we get:
x = (n + 2) / 3
Therefore, x will be an integer if (n + 2) is divisible by 3. Since we don't know the value of n, we cannot determine whether x will be an integer or not. Therefore, the answer is (e) cannot be determined.
Let's assume that the family had n members before the babies were born. Therefore, the average age of the family was (28n + 24n)/n = 52 years.
After the twins were born, the family size increased by 2, and the total age of the family increased by 2 × 0 = 0 years (since the babies were just born and had age 0). Therefore, the new average age of the family is:
(28n + 24n + 0) / (n + 2) = (52n + 0) / (n + 2) = (52n / (n + 2))
We want to find after how many years the average age of the family will be the same as before the babies were born. Let's assume that the family will take x years to reach this point.
After x years, the husband will be 28 + x years old, the wife will be 24 + x years old, and the twins will be x years old. Therefore, the sum of the ages of the family members will be:
(28 + x) + (24 + x) + x + x = 52 + 3x
The family size will still be n + 2 since the twins will still be part of the family. Therefore, the average age of the family after x years will be:
(52 + 3x) / (n + 2)
We want this average age to be equal to 52, which was the average age before the babies were born. Therefore, we can write:
(52 + 3x) / (n + 2) = 52
Solving for x, we get:
x = (n + 2) / 3
Therefore, x will be an integer if (n + 2) is divisible by 3. Since we don't know the value of n, we cannot determine whether x will be an integer or not. Therefore, the answer is (e) cannot be determined.
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Present age of Husband and Wife is 28 and 24 Years respectively. At that age twin babies were born to them. After how many years the average of the family will be same as before babies were born?a)10 Yearsb)11 Yearsc)12 Yearsd)13 Yearse)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer?
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Present age of Husband and Wife is 28 and 24 Years respectively. At that age twin babies were born to them. After how many years the average of the family will be same as before babies were born?a)10 Yearsb)11 Yearsc)12 Yearsd)13 Yearse)Cannot be determinedCorrect answer is option 'D'. 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 Present age of Husband and Wife is 28 and 24 Years respectively. At that age twin babies were born to them. After how many years the average of the family will be same as before babies were born?a)10 Yearsb)11 Yearsc)12 Yearsd)13 Yearse)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Present age of Husband and Wife is 28 and 24 Years respectively. At that age twin babies were born to them. After how many years the average of the family will be same as before babies were born?a)10 Yearsb)11 Yearsc)12 Yearsd)13 Yearse)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer?.
Present age of Husband and Wife is 28 and 24 Years respectively. At that age twin babies were born to them. After how many years the average of the family will be same as before babies were born?a)10 Yearsb)11 Yearsc)12 Yearsd)13 Yearse)Cannot be determinedCorrect answer is option 'D'. 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 Present age of Husband and Wife is 28 and 24 Years respectively. At that age twin babies were born to them. After how many years the average of the family will be same as before babies were born?a)10 Yearsb)11 Yearsc)12 Yearsd)13 Yearse)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Present age of Husband and Wife is 28 and 24 Years respectively. At that age twin babies were born to them. After how many years the average of the family will be same as before babies were born?a)10 Yearsb)11 Yearsc)12 Yearsd)13 Yearse)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer?.
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