Question

How many numbers from 50 to 500 divisible by 9

Answer 1

Answer:

n=50

Step-by-step explanation:

AP.

54,63..........495

495=54+(n-1)9

n=50

Answer 2

Answer:

total numbers are 55

Step-by-step explanation:

You know if you list them it will start out with 9, 18, 27, 36, …

You might recall that a number is divisible by 9 exactly if the sum of its digits is also divisible by 9. There is one such number in the four-hundred-nineties, namely 495.

So the question amounts to wondering how many numbers are in the list

9, 18, 27, 36, … , 495

If you divide each of these numbers by 9, you’ll get a new list:

1, 2, 3, 4, … , 55

This last list has the same number of members!