partituon 180 in the ratio of 2:3:4:
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2:3:4=180
Insert a variable x to each parts of ratio and add them.
{\tt \leadsto 2x + 3x + 4x = 180}⇝2x+3x+4x=180
Add all the values on LHS.
{\tt \leadsto 9x = 180}⇝9x=180
Shift the number 9 from LHS to RHS.
{\tt \leadsto x = \dfrac{180}{9}}⇝x=
9
180
Simplify the fraction on RHS to get the value of x.
{\tt \leadsto x = 20}⇝x=20
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