Question

a) 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​

Answer 1

Step-by-step explanation:

let the four integers be a, b, c, d

average of first two

a + b /2 = 102

a + b = 204 equ (1)

average of first three

a + b + c / 3 = 103

a + b + c = 309 equ (2)

average of all four

a + b + c + d / 4 = 104

a + b + c + d = 416 equ (3)

substitute equ (1) in equ (3)

309 + d = 416

d = 416 - 309

d = 107

substitute equ (1) in equ (2)

204 + c = 309

c = 309 - 204

c = 105

greatest of all the four is d = 107

hope you get your answer