Question

the total value of the property of twi freinds is ₹360000. if the value of one is twice that of other ,what is the value of each?

Answer 1

$\red{ \huge{ \underline{ \overline{ \mid{ \bold{ \purple{ \: \: SOLUTION \: \: \red{ \mid}}}}}}}}$

$\bold{Suppose,} \\ \\ \bold{The \: \: two \: \: friends \: \: are \: \: \: A \: \: \: and \: \: \: B}$

$\bold{Let,} \\ \\ \bold{Value \: \: of \: \: the \: \: property \: \: of \: \: A \: = Rs. \: \: x } \\ \\ \bold{ \therefore \: \:The \: \: Value \: \: of \: \: the \: \:property \: \:of \: \: B = Rs. \: 2x }$

$\underline{\bold{ \: \: Given \: \: :}} \to \: \:\\ \\ \bold{Total \: \: value \: \: of \:\:property \: = Rs. \:360000 }$

$\underline{ \bold{ \: \: According \: \: \: to \: \: \: question \: \: }} \\ \\ \bold{x + 2x = 360000} \\ \\ \bold{ \Longrightarrow \: 3x = 360000} \\ \\ \bold{ \Longrightarrow \: x = \frac{360000}{3} } \\ \\ \bold{ \: \: \: \: \therefore \: \: \: x = 120000} \\ \\ \\ \bold{ \therefore \: \: 2x = 2 \times 120000 = 240000}$

$\bold{Hence,} \\ \\ \bold{Value \: \: of \: \: property \: \: of \: \: A \: = \underline{ \: \: Rs. \: 120000 \: \: }} \\ \\ \bold{And,} \\ \\ \bold{Value \: \: of \: \: property \: \: of \: \: B \: = \underline{ \: \: Rs. \: 240000 \: \: }}$

Answer 2

$\red{ \huge{ \underline{ \overline{ \mid{ \bold{ \purple{ \: \: SOLUTION \: \: \red{ \mid}}}}}}}}$

$\begin{lgathered}\bold{Suppose,} \\ \\ \bold{The \: \: two \: \: friends \: \: are \: \: \: A \: \: \: and \: \: \: B}\end{lgathered}$

$\begin{lgathered}\bold{Let,} \\ \\ \bold{Value \: \: of \: \: the \: \: property \: \: of \: \: A \: = Rs. \: \: x } \\ \\ \bold{ \therefore \: \:The \: \: Value \: \: of \: \: the \: \:property \: \:of \: \: B = Rs. \: 2x }\end{lgathered}$

$\begin{lgathered}\underline{\bold{ \: \: Given \: \: :}} \to \: \:\\ \\ \bold{Total \: \: value \: \: of \:\:property \: = Rs. \:360000 }\end{lgathered}$

$\begin{lgathered}\underline{ \bold{ \: \: According \: \: \: to \: \: \: question \: \: }} \\ \\ \bold{x + 2x = 360000} \\ \\ \bold{ \Longrightarrow \: 3x = 360000} \\ \\ \bold{ \Longrightarrow \: x = \frac{360000}{3} } \\ \\ \bold{ \: \: \: \: \therefore \: \: \: x = 120000} \\ \\ \\ \bold{ \therefore \: \: 2x = 2 \times 120000 = 240000}\end{lgathered}$

$\begin{lgathered}\bold{Hence,} \\ \\ \bold{Value \: \: of \: \: property \: \: of \: \: A \: = \underline{ \: \: Rs. \: 120000 \: \: }} \\ \\ \bold{And,} \\ \\ \bold{Value \: \: of \: \: property \: \: of \: \: B \: = \underline{ \: \: Rs. \: 240000 \: \: }}\end{lgathered}$