Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

the difference of a two digit number and the number obtained on reversing the digit is always divisible by 9 (true or false) ​

Sagot :

Answer:

Yes!

Step-by-step explanation:

I know this from having been a bank teller. But let's examine the math.

Any two digit number can be written as 10x + y.

Reverse the digits would give you

10y + x

Subtract to find the difference.

10x + y - (10y + x)

10x + y - 10y - x

10x - x - 10y + y

9x - 9y

9(x - y)

Yes, it has 9 as a factor, so it is a multiple of 9.

We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.