Question

in a set of four integers the average of the two smallest integers is 102,the average of the three smallest integers is 103,the average of all four is 104.which is the greatest of these integers?


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Answer 1

let the numbers be w,x,y,z such that z is greatest and w is smallest
so given
w+x/2=102
w+x=204
and also w+x+y/3=103
w+x+y=309
and also w+x+y+z/4=104
w+x+y+z=416
309+z=416
z=416-309
=107

Answer 2

Find the sum of all the 4 integers:

Average = 104

Sum = 104 x 4 = 416

Find the sum of the 3 smallest integers:

Average = 103

Sum = 103 x 3 = 309

Find the greatest number:

The greatest number = 416 - 309 = 107

Answer: The greatest number is 107