Digits in disguise means letters or symbols are used instead of numbers (digits) in a math problem or puzzle. Each letter stands for one number from \(0\) to \(9\). The goal is to find which digit each letter represents.
It’s like a secret code where every letter hides a number, and you need to solve the puzzle by using clues and logic.
How to Solve Digits in Disguise?
- Remember each letter is one number, always the same number wherever it appears.
- Different letters stand for different numbers.
- Use simple math rules to guess which numbers fit.
- Check if the sum or product is right after you guess.
Example:
Find the value of \(A\) and \(B\).
Solution:
It is given that \(B \times B = 9\).
Thus, \(B\) takes the value either \(3\) or \(7\).
When \(B = 3\), we have:
\(\Rightarrow (A \times 3) =6 \)
\(\Rightarrow 3A = 6\)
\(\Rightarrow A = 2\)
Thus, \(A = 2\) and \(B = 3\).
[Here the \(B=7\) case is not possible, which results in a different product value. ]