Question

Solve the following question

Answer 1

Hint: For solving this problem we assume each figure as a variable and solve the respective variable for finding the required answer. While finding the value of the required result we follow the ‘BODMAS’ rule, which tells us what operation needs to be applied first. BODMAS stands for ‘Brackets of division, multiplication, addition, and subtraction. This tells us to follow that order in applying the binary operations.

Complete step by step answer:
Let us assume that the value double shoes as \['x'\]
Now by taking the first equation from the figure and converting to mathematical equation we get
\[\begin{align}
  & \Rightarrow x+x+x=60 \\
 & \Rightarrow 3x=60 \\
 & \Rightarrow x=20 \\
\end{align}\]
Now, let us assume that the man has a value of\['y'\].
Now by taking the second equation from the figure and converting to mathematical equation we get
\[\begin{align}
  & \Rightarrow x+y+y=30 \\
 & \Rightarrow 20+2y=30 \\
 & \Rightarrow 2y=10 \\
 & \Rightarrow y=5 \\
\end{align}\]
Now, let us assume that the goggles have the value of \['z'\].
Now by taking the third equation from the figure and converting to mathematical equation we get
\[\begin{align}
  & \Rightarrow z+y+z=9 \\
 & \Rightarrow 2z+5=9 \\
 & \Rightarrow 2z=4 \\
 & \Rightarrow z=2 \\
\end{align}\]
Let us assume the value of gloves as \['k'\].
Now by taking the fourth equation from the figure and converting to mathematical equation we get
\[\begin{align}
  & \Rightarrow x+k+z=42 \\
 & \Rightarrow 20+k+2 \\
 & \Rightarrow k=20 \\
\end{align}\]
Here, we got all the values of figures mentioned.
Now, let us convert the last equation to mathematical form.
Here, if we observe there is only one shoe and the man is wearing goggles, gloves and shoes. So, we can write the fifth equation as
\[\Rightarrow T=\dfrac{x}{2}+\left( y+z+x+2k \right)\times z\]
We know that while applying the binary operations we need to go through the BODMAS rule which stands for ‘Brackets of division, multiplication, addition, and subtraction. This tells us to follow that order in applying the binary operations.
By substituting the required values and applying BODMAS rule we get
\[\begin{align}
  & \Rightarrow T=\dfrac{20}{2}+\left( 5+2+20+2\left( 10 \right) \right)\times 2 \\
 & \Rightarrow T=10+47\times 2 \\
 & \Rightarrow T=10+94 \\
 & \Rightarrow T=104 \\
\end{align}\]

Therefore, the required answer is 104.

Note: Students will make mistakes in small logics that in the last equation the man is wearing goggles gloves and shoes. Students may not see them and go for the solution which results in the wrong answer. Also while evaluating the result following the BODMAS rule is very important. If we do not follow then we get so many answers for one question.