Question

x :10 + x : 5 + x : 4 + x :2 + x :1 = 205

Answer 1

\(x:10+x:5+x:4+x:2+x:1=205\)
\(x\times\dfrac{1}{10}+x\times\dfrac{1}{5}+x\times\dfrac{1}{4}+x\times\dfrac{1}{2}+x\times1=205\)
\(x\times\left(\dfrac{1}{10}+\dfrac{1}{5}+\dfrac{1}{4}+\dfrac{1}{2}+1\right)=205\)
\(x\times\dfrac{41}{20}=205\)
\(x=205:\dfrac{41}{20}\)
\(x=205:2,05\)
\(x=100\)

Answer 2

=>0,1x+0,2x+0,25x+0,5x+0,1x=205

=>1,15x=205

=>x=4100/23