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The average age of a husband and wife, who were married 8 years ago, was 30 years at the time of their marriage, Now, the average age of the family, including husband, wife and a child, born during the interval, is 26 years. What is the present age of the child? 
  • a)
    3 years
  • b)
    2 years
  • c)
    4 years
  • d)
    1 year
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The average age of a husband and wife, who were married 8 years ago, w...
Total age 8 years ago = 30 × 2 = 60 years
Total age today = 60 + 8 × 2 = 76 years
Total age after child was born = 76 + a
Therefore, average age = (76 + a)/3 = 26 Now, 76 + a = 78
Therefore, a = 2 years
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Most Upvoted Answer
The average age of a husband and wife, who were married 8 years ago, w...
To solve this problem, let's assume the present age of the husband and wife as H and W respectively, and the present age of the child as C.

Given information:
1. The average age of the husband and wife, 8 years ago, was 30 years.
2. The average age of the family, including husband, wife, and a child, born during the interval, is 26 years.

Let's calculate the current average age of the husband and wife:
Since the average age of the husband and wife, 8 years ago, was 30 years, their combined age at that time was 30 x 2 = 60 years.
So, their current combined age will be 60 + 8 x 2 = 60 + 16 = 76 years.

Now let's calculate the current average age of the family, including husband, wife, and a child:
The average age of the family is given as 26 years.
Since there are three members in the family, their total age will be 26 x 3 = 78 years.

Calculation for the present age of the child:
The combined age of the husband and wife is 76 years.
Therefore, the present age of the child will be the difference between the total age of the family and the combined age of the husband and wife.
Present age of the child = 78 - 76 = 2 years.

Therefore, the present age of the child is 2 years, which corresponds to option B.
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The average age of a husband and wife, who were married 8 years ago, was 30 years at the time of their marriage, Now, the average age of the family, including husband, wife and a child, born during the interval, is 26 years. What is the present age of the child?a)3yearsb)2 yearsc)4 yearsd)1 yearCorrect answer is option 'B'. Can you explain this answer?
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