Question

the average of 5 positive integers is 385.The average of the first two integers is 568.5 while the average of the fourth and fifth integers is 187.5.find the third integer​

Answer 1

Step-by-step explanation:

let the five integers be x1,x2,x3,x4, x5

their average is 385

x1+x2+x3+x4+x5 / 5 = 385

x1+x2+x3+x4+x5 = 1925 --------------------(1)

average of first two integer is 568.5

x1+x2/2 = 568.5

x1 + x2 = 1137 ----------(2)

average of fourth and fifth integer is 187.5

x4+x5 /2 = 187.5

x4 + x5 = 375----------(3)

putting the value of (2) and (3) in (1) , we get

1137 + x3 + 375 = 1925

x3 = 413

Hope it helps! !