If 9 × 3 + 8 = 24, 10 × 2 + 7 = 35 and 80 × 40 + 3 = 6, then find the value of 12 × 4 + 3 = ?
Step-by-step Solution:
In this type of puzzle, the mathematical symbols like `×` and `+` don't represent their usual functions. We need to find the hidden pattern from the given examples.
Let's analyze the first example: 9 × 3 + 8 = 24.
If we label the numbers A, B, and C (so the expression is A × B + C), we can see a consistent rule. The pattern is to multiply the first and third numbers (A and C) and then divide the result by the second number (B).
(9 × 8) ÷ 3 = 72 ÷ 3 = 24
So, the hidden rule is: (First Number × Third Number) ÷ Second Number.
Let's quickly check if this rule holds true for the other examples:
The pattern is consistent across all examples.
Now we can apply our confirmed rule to the final problem: 12 × 4 + 3.
(12 × 3) ÷ 4 = 36 ÷ 4 = 9
Final Answer: The value is 9.