Question

Complete the below puzzle.
\[\begin{align}
  & 34+5=36 \\
 & 56+2=39 \\
 & 27+6=45 \\
 & 47+5=48 \\
 & 28+1=33 \\
\end{align}\]
Then $41+5=? $

Answer 1

Hint: In this problem, we have to solve and find the missing term in the given puzzle. Here we have to solve the given puzzle logically. We can see that, the first step, where the three terms in the left-hand side are added and then multiplied by 3 to get the result in the right-hand side. Similarly, the remaining terms are being solved, we can check for it using this logic to find the missing term.

Complete step-by-step solution:
Here we have to find the missing term in the given puzzle.
\[\begin{align}
  & 34+5=36 \\
 & 56+2=39 \\
 & 27+6=45 \\
 & 47+5=48 \\
 & 28+1=33 \\
 & 41+5=? \\
\end{align}\]
Here we have to solve the given puzzle logically.
We can see that, the first step, where the three terms in the left-hand side are added and then multiplied by 3 to get the result in the right-hand side.
\[\Rightarrow 3+4+5=12\times 3=36\]
Similarly, we can now check for the remaining terms, we get
 \[\begin{align}
  & \Rightarrow 5+6+2=13\times 3=39 \\
 & \Rightarrow 2+7+6=15\times 3=45 \\
 & \Rightarrow 4+7+5=16\times 3=48 \\
 & \Rightarrow 2+8+1=11\times 3=33 \\
\end{align}\]
Here we can see that, this logic suits for all the given terms, so we can apply for the last step in the given puzzle, we get
\[\Rightarrow 4+1+5=10\times 3=30\]
Therefore, the missing term is 30.

Note: We should always remember that these types of puzzles can be solved most of the time using logical methods, as it should solve every step in the given problem, so that it will give the required answer. We should remember to check the logic for each and every step to continue the problem.