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Aptitude Day 169

Problems on Average:
          
1. Of the 3 numbers, the 1st is half of the 2nd, the 2nd is 7 times of the 3rd one. The average of the numbers is 92. The 2nd smallest number is:

Solution:
                 Let the 3rd number be x.
                
                 [x+ 7x +7x/2]/ 3 = 92

                 [2x+14x+7x]/2 = 92*3
                 23x = 92*6
                 x = 24.

                The numbers are x,  7x, 7x/2 = 24, 168 and 84.

                 The 2nd smallest number is 84.


2. Of the 5 numbers whose average is 120, the 1st is one-third of the sum of the last 4. The 1st number is:

Solution:
                 Let the 1st number be x.
                 Sum = 120*5 = 600.

                 x = 1/3(Sum of the last 4 numbers)
                 Sum of the last 4 numbers = 3x

                (x +3x)/5 = 120
                4x=120*5
                x = 150.  

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