The problem is asking to find the weights of the five boxes given the weights of all possible pairs.

Step 1:
First, we need to understand that the sum of all the pair weights is equal to twice the sum of the individual box weights. This is because each box weight is counted twice in the pair weights.

Step 2:
Add up all the pair weights: 110 + 112 + 113 + 114 + 115 + 116 + 117 + 118 + 120 + 121 = 1166 kg.

Step 3:
Divide this total by 2 to get the sum of the individual box weights: 1166 / 2 = 583 kg.

Step 4:
The problem states that the box weights are integers between 53 and 100 kg. The five boxes must therefore have the weights 53, 54, 55, 56, and 100 kg.

Step 5:
Check the solution by adding up the weights of all possible pairs of these five boxes. The sums should match the given pair weights.

This is the solution to the problem.

Question

The problem is asking to find the weights of the five boxes given the weights of all possible pairs.

Step 1: 
First, we need to understand that the sum of all the pair weights is equal to twice the sum of the individual box weights. This is because each box weight is counted twice in the pair weights.

Step 2: 
Add up all the pair weights: 110 + 112 + 113 + 114 + 115 + 116 + 117 + 118 + 120 + 121 = 1166 kg.

Step 3: 
Divide this total by 2 to get the sum of the individual box weights: 1166 / 2 = 583 kg.

Step 4: 
The problem states that the box weights are integers between 53 and 100 kg. The five boxes must therefore have the weights 53, 54, 55, 56, and 100 kg.

Step 5: 
Check the solution by adding up the weights of all possible pairs of these five boxes. The sums should match the given pair weights.

This is the solution to the problem.

Knowee AI · Accepted Answer

The problem is asking to find the weights of the five boxes given the weights of all possible pairs.

Step 1: 
First, we need to understand that the sum of all the pair weights is equal to twice the sum of the individual box weights. This is because each box weight is counted twice in the pair weights.

Step 2: 
Add up all the pair weights: 110 + 112 + 113 + 114 + 115 + 116 + 117 + 118 + 120 + 121 = 1166 kg.

Step 3: 
Divide this total by 2 to get the sum of the individual box weights: 1166 / 2 = 583 kg.

Step 4: 
The problem states that the box weights are integers between 53 and 100 kg. The five boxes must therefore have the weights 53, 54, 55, 56, and 100 kg.

Step 5: 
Check the solution by adding up the weights of all possible pairs of these five boxes. The sums should match the given pair weights.

This is the solution to the problem.

Ram has five boxes of different weights having integer values, between 53 and 100 kg. But he cannot weigh these boxes as all the available weights are more than 100 kg. So, he weighs all the possible pairs of boxes and gets 10 weights as 110, 112, 113, 114, 115, 116, 117, 118, 120 and 121 kg.

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