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The weight of a husband is 84 kg, and the weight of the wife is 96 kg.

1. What is the ratio of the husband's weight to the wife's weight in the lowest terms?
2. What is the ratio of the husband's weight to the total weight of both of them?

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:

  1. Divide the husband's weight (84 kg) by the wife's weight (96 kg): 84kg / 96kg.
  2. 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.
  3. 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:

  1. First, calculate the total weight: 84 kg + 96 kg = 180 kg.
  2. Then, divide the husband's weight by the total weight: 84kg / 180kg.
  3. 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.
  4. The ratio of the husband's weight to the total weight of both of them is therefore 7:15.

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