Question 20
Let $a_1,a_2,a_3,a_4,a_5,a_6,a_7,a_8$ be positive integers such that
$$a_1^2+(2a_2)^2+(3a_3)^2+(4a_4)^2+(5a_5)^2+(6a_6)^2+(7a_7)^2+(8a_8)^2=204.$$
Find $a_1+a_2+a_3+a_4+a_5+a_6+a_7+a_8$.
$$a_1^2+(2a_2)^2+(3a_3)^2+(4a_4)^2+(5a_5)^2+(6a_6)^2+(7a_7)^2+(8a_8)^2=204.$$
Find $a_1+a_2+a_3+a_4+a_5+a_6+a_7+a_8$.