Lester's Code
Lester had a secret code where letters are used for digits. Each letter (P, Q, R, S) stands for one (and only one) of these digits: 2, 6, 7, 8.
Question 1: If PQ + PQ + PQ = RRS, which digit does each letter represent?
Question 2: Are other solutions possible if the problem allows the four letters to be any of the digits 09?
Hint: Write the problem vertically:
PQ
PQ
PQ
____
RRS
Focus on the ones'column...think multiplication.
Solution Commentary: With the problem written vertically, the ones column becomes the multiplication problem 3 x Q = **S. Given this new problem, what information do the possible digits tell you...i.e. what are the values of Q and S? Now, focus on P and R.
What was your conclusion for the extension to the full digit range 09? Could you use the same basic problem solving strategy as was done for the original problem?
