Question

The average of 5 numbers is 140. if one number is excluded, the average of the remaining 4 numbers is 130. the excluded number is

Answer 1

the answer for this is 180

Answer 2

$\LARGE\mathfrak{\underline{\underline{ Given :-}}} </p><p>Given:−</p><p> </p><p> </p><p> </p><p> </p><p></p><p>\begin{gathered}\large: \: \mapsto\texttt{Average of 5 numbers = 496}\\\\\large: \: \mapsto\texttt{2 numbers of them = 117 , 140}\end{gathered} </p><p>:↦Average of 5 numbers = 496</p><p>:↦2 numbers of them = 117 , 140</p><p> </p><p> </p><p></p><p>__________________________________________________________</p><p></p><p>\LARGE\mathfrak{\underline{\underline{ To \: \: \: find :-}}} </p><p>Tofind:−</p><p> </p><p> </p><p> </p><p> </p><p></p><p>\large\qquad{: \: \mapsto\texttt{Average of the remaining numbers}}:↦Average of the remaining numbers</p><p></p><p>__________________________________________________________</p><p></p><p>\LARGE\mathfrak{\underline{\underline{Formula :-}}} </p><p>Formula:−</p><p> </p><p> </p><p> </p><p> </p><p></p><p>\large\qquad{: \: \Longrightarrow\underline{\boxed{\textsf{\textcolor{red}{Average = \cfrac{Sum \: \: \: of \: \: \: observation}{Total \: \: \: number\: \: \: of\: \: \: observations} }}}}}:⟹ </p><p>Average = </p><p>Totalnumberofobservations</p><p>Sumofobservation</p><p> </p><p> </p><p> </p><p> </p><p> </p><p> </p><p></p><p>__________________________________________________________</p><p></p><p>\LARGE\mathfrak{\underline{\underline{How \: \: \: To \: \: \: Solve:-}}} </p><p>HowToSolve:−</p><p> </p><p> </p><p> </p><p> </p><p></p><p>Let's assume the numbers as a₁ , a₂ , a₃ , a₄ , a₅ .</p><p>As we have been provided with the average of the 5 numbers that is 496 .</p><p>So by this information we can calculate the total sum of all the digits .</p><p>Also we have been provided with 2 numbers that are 117 , 140 . So we assum this two numbers as a₁ and a₂ .</p><p>So , we add this numbers together and subtract it from the sum of the Total number.</p><p>And from this final$

answer 180