Digital roots
The digital root in math is the single-digit value obtained by continuously summing the digits of a number until only one digit remains.
How Digital Roots Work?
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Start by adding the digits of a number.
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If the result has more than one digit, repeat the process with the new sum.
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Continue until a single-digit number is reached.
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For example, for \(67392\): \(6 + 7 + 3 + 9 + 2 = 27\) then, \(2 + 7 = 9\). So, the digital root is \(9\).
Digits in disguise
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 \(B \times B = 6\).
Thus, \(B\) takes the value either \(4\) or \(6\).
When \(B = 4\), we have:
\(\Rightarrow (A \times 4) + 1 = 9\) [Where \(1\) is the carry over of \(16\)]
\(\Rightarrow 4A + 1 = 9\)
\(\Rightarrow 4A = 8\)
\(\Rightarrow A = 2\)
Thus, \(A = 2\) and \(B = 4\).