Question

Find the sum of all three digit number which are divisible by 45.

Answer 1

45 is divisible by 9. The sum of digits of all numbers divisible by 9 will always be 9. So, sum of digits of any 3 digit number divisible by 45 will be 9. I hope you are satisfied with my answer.

Answer 2

The sum of all three-digit numbers which are divisible by 45 is 9315.

To Find:

The sum of all three-digit numbers which are divisible by 45.

Solution:

Three-digit numbers which are divisible by 45 are 135, 180, 225, 270, 315, 360, 405, 450, 495, 540, 585, 630, 675, 720, 765, 810, 855, 855, 900.

Now, Let S be the sum of all three-digit numbers which are divisible by 45.

S = 135 + 180 + 225 + 270 + 315 + 360 + 405 + 450 + 495 + 540 + 585 + 630 + 675 + 720 + 765 + 810 + 855 + 855 + 900

  = 9315.

Hence, The sum of all three-digit numbers which are divisible by 45 is 9315.

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