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1.
The average age of husband wife and their child 4 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:
- A. 35
- B. 35
- C. 35
- D. 35
Answer: Option B
Explanation:
Let's denote the present ages of the husband, wife, and child as H, W, and C, respectively.
According to the given information:
Four years ago, the average age of the husband, wife, and child was 27 years. So, (H - 4 + W - 4 + C - 4) / 3 = 27.
Five years ago, the average age of the wife and child was 20 years. So, (W - 5 + C - 5) / 2 = 20.
We can simplify these equations:
1. (H + W + C - 12) / 3 = 27.
2. (W + C - 10) / 2 = 20.
Now, let's solve this system of equations:
From equation 2, we can express W + C as 2 * 20 + 10 = 50.
Substitute this value into equation 1:
(H + 50 - 12) / 3 = 27.
H + 38 = 81.
H = 81 - 38.
H = 43.
So, the present age of the husband is 43 years.
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