How to Solve the Puzzle
This puzzle uses a pattern that isn't simple addition. Instead, it follows a
two-step process. Let's look at the given equations to uncover the pattern:
1. For
the first equation, +5=12:
o
Add the two numbers: +5=7.
o
Add the first number from the original equation
to the result: +5=12.
2. For
the second equation, +6=21:
o
Add the two numbers: +6=9.
o
Add the first number from the original equation
to the result: +12=21.
This pattern doesn't quite work. The pattern is as follows:
·
For the first equation, +5=12:
o
Add the two numbers: +5=7.
o
Add the first number to the result: +5=12.
The first number is 5 from the original equation. This is a bit confusing.
Let's try again.
·
For the first equation, +5=12:
o
Multiply the second number by the first number: ×2=10.
o
Add the second number to the result: +2=12.
This works!
Let's try this pattern on the next one.
·
For the second equation, +6=21:
o
Multiply the two numbers: ×6=18.
o
Add the first number to the result: +3=21.
This also works.
So, the rule is to multiply the two numbers and then add the first number
to the product.
The Final Calculation
Using this rule, we can solve the final equation: +11=?
1. Multiply
the two numbers: ×11=88.
2. Add
the first number to the product: +8=96.
Let's look at the problem again. The image shows the first equation +5=12.
Let's try to find a pattern that works for all three equations in the image.
·
Equation 1: +5=12. A possible pattern is 2+5)+5=12.
·
Equation 2: +6=21. Using the same pattern: 3+6)+6=15, which does not equal 21.
Let's try a different pattern.
·
Equation 1: +5=12. ×5+2=12. This is a possibility.
·
Equation 2: +6=21. ×6+3=21. This works!
So the pattern is +b=a×b+a.
Now let's solve the final equation: +11=?
8×11+8=88+8=96.
This is one possible solution. There is another solution, which is very
common in these types of puzzles.
Let's re-examine the original image.
·
First equation: +5=12.
2+5=7.
o
Add the previous sum to the current sum. There
is no previous sum.
o
Add the sum of the previous equation to the next
one. Let's assume the previous equation is +4=5.
2+5=7. +5=12.
The first number of the second equation is 5. This doesn't make sense.
Let's try a different approach. Let's assume the first equation is correct: +5=12.
·
Equation 1: +5=12. This can be written as 2+5)+5=12.
·
Equation 2: +6=21. This can be written as 3+6)+12=21.
·
Equation 3: +11=?. This can be written as 8+11)+21=40.
Let's try this again.
The puzzle's solution relies on a running total. Each result is found by
adding the two numbers in the equation and then adding the result of the
previous line's equation.
·
Line 1: +5=7. The result of the previous line is assumed to be 0
in this context. +0=7. This is not 12.
Let's try the common pattern of adding the result of the previous line to
the current line's sum.
·
Line 1: +5=7. Since there is no previous sum, the result is the
sum itself, which is 7. But the image says 12.
·
Line 2: +6=9.
·
Line 3: +11=19.
The pattern is add the two numbers in the current equation and add the
previous result to it.
·
Equation 1: +5=7. Add the previous result,
which is 5 from the assumed previous equation (+4=5). +5=12. This doesn't seem to work,
as the previous result is not given.
The most common solution to this type of puzzle is:
·
Equation 1: +5=12. The sum of +5 is .
The previous result is 5. So +5=12.
·
Equation 2: +6=21. The sum of +6 is .
The previous result is 12. So +12=21.
·
Equation 3: +11=?. The sum of +11 is .
The previous result is 21. So +21=40.
Therefore, the answer is 40.
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The Logic Behind the Puzzle
This math puzzle is based on a pattern, not standard addition. The rule is
to add the two numbers together, and then multiply the sum by the
first number.
Let's break down the examples:
2+3=10:
The sum is +3=5.
Then, multiply the sum by the first number: ×2=10.
8+4=96:
The sum is +4=12.
Then, multiply the sum by the first number: ×8=96.
7+2=63:
The sum is +2=9.
Then, multiply the sum by the first number: ×7=63.
6+5=66:
The sum is +5=11.
Then, multiply the sum by the first number: ×6=66.
Solving the Final Equation
Now, we apply the same rule to the final problem:
9+5=???:
The sum is +5=14.
Then, multiply the sum by the first number: ×9=126.
Therefore, the final answer is 126.
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