Find the sum of the ages of 4 the men

Question

This is the complete problem:

There are 4 men in a car. Find the sum of the ages of 4 the men if their ages in all possible pairs are given as : 96, 79, 84, 95, 100, 83.

Answer 1

a + b

a + c

a + d

b + c

b + d

c + d

------

3(a + b + c + d)

 

96 = 90 + 6

79 = 90 - 11

84 = 90 - 6

95 = 90 + 5

100=90 + 10

83 = 90 - 7

       ----------

     6(90) - 3 = 3(a + b + c + d)

 

(a + b + c + d) = 2(90) - 1 = 179