The sum of 5 successive odd numbers is 1075. What is the largest of these numbers ?

For 5 consecutive odd numbers, they can be represented as x, x+2, x+4, x+6, x+8. Sum = 5x + 20 = 1075, so 5x = 1055 and x = 211. The numbers are 211, 213, 215, 217, 219. The largest is 219. Alternatively, for 5 consecutive numbers with same difference, the middle number (third) equals average, so middle = 1075/5 = 215, making the largest 215+4 = 219.