First we make the relation between values
an object whose mass is 10 kg and weight is 20 N
and an object whose mass is 6 kg and the weight the missing value X
![\begin{gathered} 10\longrightarrow20 \\ 6\longrightarrow x \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/vfxgcowfqwrxh1xcd8tmw6k9avu5neob4o.png)
now we can use cross multiplication to find the value of x
x is the multiplication of the diagonal numbers (6 and 20) dividing between 10
![\begin{gathered} x=(6*20)/(10) \\ \\ x=12 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/pwewaipqffo5ddb6h25mc946nfcsecwxuj.png)
the weight of the object is 12N