Final answer:
To find the value of x + y, we can set up an equation based on the given information. By solving the equation, we find that x = 123 and y = 124. Therefore, x + y = 247.
Step-by-step explanation:
Given that there are 4 different digits 1, 2, x, y, we can make 18 natural numbers with 3 different digits. The sum of these 18 numbers is 4508. We need to calculate x + y.
To find the value of x + y, we should first calculate the sum of the 18 numbers. Let's assume the missing digits x and y are represented by the numbers a and b, respectively. The sum of these 18 numbers can be expressed as 18 * (a + b), which is equal to 4508.
Therefore, we can write the equation 18 * (a + b) = 4508. By simplifying this equation, we get a + b = 250.
Since we know the digits are 1, 2, a, and b, we need to find two numbers that sum up to 250. The only possible combination is 1 + 2 + 123 + 124 = 250.
Hence, x = 123 and y = 124. Therefore, x + y = 123 + 124 = 247.