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Five students weighed themselves in pairs in all possible ways. The weights were 90 kg, 92 kg, 93 kg, 94 kg, 95 kg, 96 kg, 97 kg, 98 kg, 100 kg, and 101 kg. What was the total weight of the five boys?
1. 239 kg
2. 229 kg
3. 230 kg
4. 240 kg

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Correct Answer - Option 1 : 239 kg

Calculation:

Let five students weight be a, b, c, d and e in kg respectively.

Possible ways are -

a + b = 90

b + c = 92

c + d = 93

d + e = 94

a + c = 95

a + d = 96

a + e = 97

b + d = 98

b + e = 100

c + e = 101

Adding all,

⇒ 4a + 4b + 4c + 4d + 4e = 956

⇒ a + b + c + d + e = 239

∴ Total weight of five students = 239 kg

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