In the addition problem on the right, different
letters represent different digits and A is
bigger than P.
What three-digit number does EEE, the sum,
represent?
P A + PA + PA =EEE
To solve this addition problem, we need to assign each letter a unique digit (0-9) such that the sum of the two-digit numbers PA and PA equals a three-digit number represented by EEE.
Let's break it down step by step:
Step 1: Find the possible range for the variables.
Since P and A represent two-digit numbers, we can deduce that P can only be 1-9 (as it cannot be 0) and A can be any digit between 0-9.
Step 2: Identify the relationships between the variables.
The problem states that A is bigger than P (A > P). This helps us narrow down our options when assigning values to the variables.
Step 3: Assign values to the variables and calculate the sum.
Start with the largest available value for A and the smallest available value for P. Since A is bigger than P, we can start with A = 9 and P = 1. Calculate the sum of the addition:
PA 19
PA + 19
PA + 19
---------------------
EEE
The sum EEE is 57. However, this value does not satisfy the condition that EEE should be a three-digit number. So, let's try the next possible values:
A = 8 and P = 1:
PA 18
PA + 18
PA + 18
---------------------
EEE
Now, the sum EEE is 54. This is a three-digit number, so we have found our solution. EEE represents the three-digit number 54.
Therefore, the answer to the question is 54.