Question

Think of a 3-digit number whose digits are the same, for example 333, 555. Divide the 3-digit number
by the sum of its digits. Your answer will be 37 for any such 3-digit numbers. Find out the trick behind it.
Hint: Take the number as aaa and write it in the generalised form.​

Answer 1

Step-by-step explanation:

Let the number be aaa.

It's generalised form is 100a + 10a + a. Or 111a.

The sum of the digits is a + a + a = 3a.

Now, 111a/3a = 37.

So it has been proved that any 3 digit number with all the digits same, divided by the sum of its digits is 37.

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