Quote by: hciHi Let these 5 numbers be a,b,c,d,e

(1) Ave of a,b and c is 10, that means total sum of the three numbers is 10x3=30

c being the middle number is 17, hence a+b = 30-17=13

so sum of a and b is 13, ave of a and b will be 13/2=6.5

hence a would be 6 and b would be 7

so we have **a=6**, **b=7,** **c=17**

(2) Ave of b, c and d is 14, total sum of the three numbers is 14x3=42

b+c = 7+17=24, hence **d= 42-24=18**

(3) Ave of c,d and e is 25. total sum of the three numbers is 25x3=75

since c=17 and d=18, e=75-17-18=40

thus, the other four numbers are 6,7,18 and 40.

Hope it helps!