Divide ₹100 into two parts such that ⅓rd of the first and ½ of th

1.	Divide ₹100 into two parts such that ⅓rd of the first and ½ of the second are equal. (explain in detail)
Answer» QUESTION. : Divide ₹100 into TWO PARTS such that ⅓rd of the first and ½ of the second are equal Answer : $\sf\purple{Given}$ Let ONE part be x . Therefore other part = 100 - x. By the given condition , ⅓× x = ½ ( 100 - x) $\longrightarrow\sf{x/3 = 100/2 - x/2}$ $\longrightarrow\sf{x/3 = 100-x/2}$ $\longrightarrow\sf{x×2/3= 100-x}$ $\longrightarrow\sf{2x/3= 100-x}$ $\longrightarrow\sf{2x= 3(100-x)}$ $\longrightarrow\sf{2x= 300- 3x}$ $\longrightarrow\sf{2x + 3x = 300}$ $\longrightarrow\sf{5x = 300}$ $\longrightarrow\sf{x = 300/5}$ $\longrightarrow\sf\pink{x = 60 }$ Therefore first part is x that is 60 Therefore second part is 100 - x $\longrightarrow\sf{100-60}$ $\longrightarrow\sf\pink{40}$ Therefore the second part is 40 @MissOxford