Question

Multiplying 21978 by 4 reverses the order of the numbers: 87912.



ᴛʀʏ ᴛʜɪs ɢᴜʏs...ᴛʜɪs ɪs ᴀᴍᴀᴢɪɴɢ....​

Answer 1

Answer:

87918 is the answer for this question

Answer 2

Answer:

Actually this is pretty easy to do

Step-by-step explanation:

If you want any number to reverse its digits after multiplying, we can do a simple procedure, let me explain with an example

let us take a 2 digit no.

Any 2 digit no. can be expressed in the form 10x + y where x and y are integers and x is the digit in the tens place and y in the units place

let the no. we want to multiply with be, for this case be 4

When the digits are reversed,

New number = 10y + x

Then,

4(10x + y) = 10y + x

40x + 4y = 10y + x

39x - 6y = 0

Then, for any single-digit whole number solution for this equation will give us a 2-digit number when multiplied by 4, will reverse its digits.

Obviously, here my example is a little bad since this equation does not satisfy my conditions but a similar method can be used to find numbers with similar properties

Obviously, find these kinds of numbers is difficult for 2-digit numbers since half of them when multiplied by 2 or greater than 2 just exceed 2-digits, but trying a similar method with 3-digit or 4-digit numbers can bring more results.

Its is obviously difficult to find these kind of numbers but they do exist like you found.

I hope this explanation helps

HOPE IT HELPS