Question

x+2x+3x+.............+10x=110

Answer 1

x+2x+3x+........+10x=110

\(\Rightarrow\)x(1+2+3+.....+10)=110

\(\Rightarrow\)x.55=110

\(\Rightarrow\)x=110:55

\(\Rightarrow\)x=2

Answer 2

\(x+2x+3x...+10x=110\)

\(\left(1+2+3+...+10\right)x=110\)

\(\left[\left(1+10\right)+\left(2+9\right)+...+\left(4+7\right)+\left(5+6\right)\right]x=110\)

\(\left(11\cdot5\right)x=110\)

\(55x=110\)

\(x=2\)

Answer 3

\(10x+\left(1+2+3+...+10\right)=110\)

\(10x+55=110\)

\(10x=110-55\)

\(10x=55\)

\(x=55:10\)

\(x=5,5\)