Question

(1+2+3+...+x):x=55
6:x+12:x+18:x+...+606:x=3+6+9+...+303

Answer 1

(1+2+3+...+x):x=55
(1+2+3+...+x)=55x
x(x+1)/2=55x
x+1 =110
x=109

6:x+12:x+18:x+...+606:x=3+6+9+...+303
(6+12+18+...+606):x=3(1+2+3+...+101)
6(1+2+3+...+101):x=3(1+2+3+...+101)
6:x=3
x=2

Answer 2

x•(x+1):x=55 => x+1=55 => x=54

6/x+12/x+18/x+...606/x=3(1+2+...+101)
6+12+18+...+606/x=3•101•102:2
6•101•102:2/x=3•101•51
6•101•51=3•101•51•x
x=2