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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, with the husband weighing 84 kg and the wife weighing 96 kg.
Explanation:
To find the ratio of the husband's weight to the wife's weight in the lowest term, we divide the husband's weight by the wife's weight and then simplify the fraction if possible. The husband weighs 84 kg and the wife weighs 96 kg. Thus, the ratio of the husband's weight to the wife's weight is 84:96. To simplify this ratio, we find the greatest common divisor (GCD) of 84 and 96, which is 12.
The simplified ratio is obtained by dividing both terms of the ratio by the GCD(84 \/ 12 = 7 and 96 \/ 12 = 8), which gives us a simplified ratio of 7:8. Therefore, the husband's weight is to the wife's weight as 7 is to 8.
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