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The average age of a husband and his wife 3 years ago was 39 yea rs. The ave rage age of the husband, wife and their child 2
years hence will be 34 years. Find the present age of the child.
12 years
18 years
15 years
16 years
- The average age of the husband and wife 3 years ago was 39 years. So, their combined age 3 years ago was \( 39 \times 2 = 78 \) years.
- Therefore, their current combined age is \( 78 + 6 = 84 \) years.
- The average age of the husband, wife, and child 2 years from now will be 34 years, making their total age then \( 34 \times 3 = 102 \) years.
- The combined current age of the husband and wife is 84 years, so their total age in 2 years will be \( 84 + 4 = 88 \) years.
- If the total age of the husband, wife, and child in 2 years is 102 years, the present age of the child is \( 102 - 88 = 14 \), and subtract 2 to find the current age, which gives 12.
Option 1: 12 years
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