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Answer :
Final answer:
The ratio of the husband's weight to the wife's weight in the lowest terms is 7:8. The ratio of the husband's weight to the total weight of both of them is 7:15.
Explanation:
To find the ratio of the husband's weight to the wife's weight, we simply divide the husband's weight by the wife's weight and then simplify:
- Divide the husband's weight (84 kg) by the wife's weight (96 kg): 84kg / 96kg.
- Simplify this ratio to its lowest terms by finding the greatest common divisor, which is 12 in this case: 84 / 12 = 7 and 96 / 12 = 8.
- So the ratio of the husband's weight to the wife's weight in the lowest terms is 7:8.
Next, we find the ratio of the husband's weight to the total weight of both the husband and wife:
- First, calculate the total weight: 84 kg + 96 kg = 180 kg.
- Then, divide the husband's weight by the total weight: 84kg / 180kg.
- Simplify the ratio to its lowest terms. The greatest common divisor here is 12 as well, which gives us: 84 / 12 = 7 and 180 / 12 = 15.
- The ratio of the husband's weight to the total weight of both of them is therefore 7:15.
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