Question

Find out largest value, if smallest value is 39.5 and coefficient of range is 0.29

Answer 1

$\huge{ \underline{ \overline{ \mid{ \mathfrak{ \red{ \: \: SOLUTION \: \: } \mid}}}}}$

$\bold{ \underline{ \: \: Given \: : \to }} \\ \\ \: \: \: \: \bold{Smallest \: \: value = 39.5} \\ \bold{Cofficient \: \: of \: \: Range = 0.29} \\ \\ \bold{ \underline{ \: To \: \: find \: : \to}} \: \: \: \: \bold{ Largest \: \: value}$

$\bold{ \underline{ \: \: We \: \: know \: \: that \: \: }} \\ \\ \bold{Cofficient \: \: of \: \: Range \: = \: \frac{Largest \: \: value - Smallest \: \: value}{Largest \: \: value + Smallest \: \: value} } \\ \\ \bold{ = >0.29 = \frac{Largest \: \: value - 39.5}{ Largest \: \: value+ 39.2} } \\ \\ \bold{ = > 0.29(Largest \: \: value + 39.5) = Largest \: \: value - 39.5} \\ \\ \bold{ = >0.29 \times \:Largest \: \: value + 11.455 )= Largest \: \: value- 39.5 } \\ \\ \bold{ = >0.29 \times \: Largest \: \: value - Largest \: \: value = - 39.5 - 11.455} \\ \\ \bold{ = > - 0.71 \times \:Largest \: \: value = - 50.955} \\ \\ \bold{ = > Largest \: \: value = \frac{ - 50.955}{ - 0.71} } \\ \\ \bold{ = >Largest \: \: value = 71.76 }$

$\bold{If \: \: smallest \: \: value \: \: is \: \: \underline{ \: 39.5 \: } \: \: and \: \: coefficient} \\ \bold {of \: \: range \: \: is \: \: \underline{ \: 0.29 \: }, \: then \: \: the \: \: largest \: \: value } \\ \bold{will \: \: be \: \: \underline{ \: 71.76 \: } \: .}$