Answer :
Final answer:
To find the weights of Jim, Joe, and Jack, we can set up an equation for the sum of their weights. By solving the equation, we can determine that Jim weighs 65 kg, Joe weighs 58 kg, and Jack weighs 72 kg.
Explanation:
To solve this problem, let's assign variables to the weights of Jim, Joe, and Jack. Let's say Jim weighs x kg, Joe weighs x - 7 kg, and Jack weighs x + 7 kg. We're given that their weights are consecutive by multiples of 7, so we can set up the equation x + (x - 7) + (x + 7) = 195. Simplifying the equation, we get 3x = 195, which means x = 65.
Now that we know Jim weighs 65 kg, we can find Joe's weight by substituting x into the equation for Joe's weight. Joe weighs x - 7, so Joe's weight is 65 - 7 = 58 kg. Similarly, we can find Jack's weight by substituting x into the equation for Jack's weight. Jack weighs x + 7, so Jack's weight is 65 + 7 = 72 kg.
Therefore, Jim weighs 65 kg, Joe weighs 58 kg, and Jack weighs 72 kg.
