Focus carefully on the problem and find the value of A. Use logical reasoning and step-by-step problem-solving to uncover the hidden logic. This type of exercise is excellent for improving analytical skills and mathematical knowledge.
Find the value of A
To find the value of A, we can look at this as a simple algebraic equation where A and B represent single digits (0–9).
The puzzle shows:
A + A + A = BA
In mathematical terms, this means three times A results in a two-digit number where the last digit is also A:
3 × A = 10B + A
Simplify the equation: Subtract A from both sides:
2 × A = 10B A = 5B
Test the possible values for B: Since A and B must be single digits, and B cannot be 0 (otherwise it wouldn’t be a two-digit number BA):
If B = 1: A = 5 × 1 = 5
If B = 2: A = 5 × 2 = 10 (This is not possible because A must be a single digit).
If we plug 5 back into the original puzzle:
5 + 5 + 5 = 15
In this case, A = 5 and B = 1. The units digit of the result (5) matches the digit we started with (A).
