Answer :
The weight of gold in a bar of gold and silver can be determined by comparing the weight loss of gold and silver when weighed in water. Given that 10 kg of silver loses 1 kg when weighed in water and 19 kg of gold loses 1 kg, we can calculate the weight of gold in the bar. The weight of gold in the bar is 95 kg.
When weighed in water, 10 kg of silver loses 1 kg, which means the weight of silver in water is 99 kg - 10 kg = 89 kg. By subtracting the weight loss (1 kg) from the weight of silver in water, we find the weight of silver in air as 10 kg + 1 kg = 11 kg.
To calculate the weight of gold in water, we subtract the weight loss (1 kg) from the weight of silver in water: 89 kg - 1 kg = 88 kg.
Next, to determine the weight of gold in air, we subtract the weight of silver in air (11 kg) from the total weight of the bar in air (106 kg): 106 kg - 11 kg = 95 kg.
Therefore, the weight of gold in the bar is 95 kg.
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