If the sum of the number 5x9, 327 and 2y8 is 1114 then the largest value x can…

Step 1: Add the three numbers: 5x9 + 327 + 2y8 = 1114. Step 2: Break down the numbers by place value: 500 + 10x + 9 + 300 + 20 + 7 + 200 + 10y + 8 = 1114. Step 3: Combine like terms: (500 + 300 + 200) + (10x + 10y) + (9 + 7 + 8) = 1114. Step 4: Simplify: 1000 + 10(x + y) + 24 = 1114. Step 5: Combine constants: 1024 + 10(x + y) = 1114. Step 6: Solve for (x + y): 10(x + y) = 90 → x + y = 9. Step 7: Since x and y are digits (0–9), the maximum value of x occurs when y is minimum (y = 0). Step 8: Therefore, x = 9 when y = 0.